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Finding the Third Proportional to 415,042.50 and 607,785

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Solution

The third proportional to 415,042.50 and 607,785 is: 890,035.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,042.50 : 607,785 = 607,785 : x
  2. Step 2: Convert to fraction form
    415,042.50/607,785 = 607,785/x
  3. Step 3: Cross multiply
    415,042.50x = 607,785 × 607,785
  4. Step 4: Simplify right side
    415,042.50x = 369,402,606,225
  5. Step 5: Solve for x
    x = 369,402,606,225/415,042.50
  6. Step 6: Final answer
    x = 890,035.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.