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Finding the Third Proportional to 413,937 and 607,279.50

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Solution

The third proportional to 413,937 and 607,279.50 is: 890,928.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,937 : 607,279.50 = 607,279.50 : x
  2. Step 2: Convert to fraction form
    413,937/607,279.50 = 607,279.50/x
  3. Step 3: Cross multiply
    413,937x = 607,279.50 × 607,279.50
  4. Step 4: Simplify right side
    413,937x = 368,788,391,120.25
  5. Step 5: Solve for x
    x = 368,788,391,120.25/413,937
  6. Step 6: Final answer
    x = 890,928.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.