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Finding the Third Proportional to 406,356.50 and 597,751.50

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Solution

The third proportional to 406,356.50 and 597,751.50 is: 879,294.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,356.50 : 597,751.50 = 597,751.50 : x
  2. Step 2: Convert to fraction form
    406,356.50/597,751.50 = 597,751.50/x
  3. Step 3: Cross multiply
    406,356.50x = 597,751.50 × 597,751.50
  4. Step 4: Simplify right side
    406,356.50x = 357,306,855,752.25
  5. Step 5: Solve for x
    x = 357,306,855,752.25/406,356.50
  6. Step 6: Final answer
    x = 879,294.06

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Why These Related Problems?

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