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Finding the Third Proportional to 417,234.38 and 596,084.06

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Solution

The third proportional to 417,234.38 and 596,084.06 is: 851,598.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,234.38 : 596,084.06 = 596,084.06 : x
  2. Step 2: Convert to fraction form
    417,234.38/596,084.06 = 596,084.06/x
  3. Step 3: Cross multiply
    417,234.38x = 596,084.06 × 596,084.06
  4. Step 4: Simplify right side
    417,234.38x = 355,316,209,566.50
  5. Step 5: Solve for x
    x = 355,316,209,566.50/417,234.38
  6. Step 6: Final answer
    x = 851,598.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.