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Finding the Third Proportional to 344,953.69 and 528,547.78

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Solution

The third proportional to 344,953.69 and 528,547.78 is: 809,855.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,953.69 : 528,547.78 = 528,547.78 : x
  2. Step 2: Convert to fraction form
    344,953.69/528,547.78 = 528,547.78/x
  3. Step 3: Cross multiply
    344,953.69x = 528,547.78 × 528,547.78
  4. Step 4: Simplify right side
    344,953.69x = 279,362,757,064.30
  5. Step 5: Solve for x
    x = 279,362,757,064.30/344,953.69
  6. Step 6: Final answer
    x = 809,855.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.