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Finding the Third Proportional to 406,387.13 and 465,436.13

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Solution

The third proportional to 406,387.13 and 465,436.13 is: 533,065.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,387.13 : 465,436.13 = 465,436.13 : x
  2. Step 2: Convert to fraction form
    406,387.13/465,436.13 = 465,436.13/x
  3. Step 3: Cross multiply
    406,387.13x = 465,436.13 × 465,436.13
  4. Step 4: Simplify right side
    406,387.13x = 216,630,786,455.02
  5. Step 5: Solve for x
    x = 216,630,786,455.02/406,387.13
  6. Step 6: Final answer
    x = 533,065.08

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.