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Finding the Third Proportional to 323,847,453.38 and 461,547,956.25

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Solution

The third proportional to 323,847,453.38 and 461,547,956.25 is: 657,798,953.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,847,453.38 : 461,547,956.25 = 461,547,956.25 : x
  2. Step 2: Convert to fraction form
    323,847,453.38/461,547,956.25 = 461,547,956.25/x
  3. Step 3: Cross multiply
    323,847,453.38x = 461,547,956.25 × 461,547,956.25
  4. Step 4: Simplify right side
    323,847,453.38x = 213,026,515,918,551,904
  5. Step 5: Solve for x
    x = 213,026,515,918,551,904/323,847,453.38
  6. Step 6: Final answer
    x = 657,798,953.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.