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Finding the Third Proportional to 344,358 and 461,862

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Solution

The third proportional to 344,358 and 461,862 is: 619,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,358 : 461,862 = 461,862 : x
  2. Step 2: Convert to fraction form
    344,358/461,862 = 461,862/x
  3. Step 3: Cross multiply
    344,358x = 461,862 × 461,862
  4. Step 4: Simplify right side
    344,358x = 213,316,507,044
  5. Step 5: Solve for x
    x = 213,316,507,044/344,358
  6. Step 6: Final answer
    x = 619,461.45

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.