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Finding the Third Proportional to 586,737 and 885,721.50

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Solution

The third proportional to 586,737 and 885,721.50 is: 1,337,060.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,737 : 885,721.50 = 885,721.50 : x
  2. Step 2: Convert to fraction form
    586,737/885,721.50 = 885,721.50/x
  3. Step 3: Cross multiply
    586,737x = 885,721.50 × 885,721.50
  4. Step 4: Simplify right side
    586,737x = 784,502,575,562.25
  5. Step 5: Solve for x
    x = 784,502,575,562.25/586,737
  6. Step 6: Final answer
    x = 1,337,060.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.