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Finding the Third Proportional to 487,302 and 730,953

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Solution

The third proportional to 487,302 and 730,953 is: 1,096,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,302 : 730,953 = 730,953 : x
  2. Step 2: Convert to fraction form
    487,302/730,953 = 730,953/x
  3. Step 3: Cross multiply
    487,302x = 730,953 × 730,953
  4. Step 4: Simplify right side
    487,302x = 534,292,288,209
  5. Step 5: Solve for x
    x = 534,292,288,209/487,302
  6. Step 6: Final answer
    x = 1,096,429.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.