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Finding the Third Proportional to 406,945.27 and 598,657.08

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Solution

The third proportional to 406,945.27 and 598,657.08 is: 880,684.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,945.27 : 598,657.08 = 598,657.08 : x
  2. Step 2: Convert to fraction form
    406,945.27/598,657.08 = 598,657.08/x
  3. Step 3: Cross multiply
    406,945.27x = 598,657.08 × 598,657.08
  4. Step 4: Simplify right side
    406,945.27x = 358,390,297,189.16
  5. Step 5: Solve for x
    x = 358,390,297,189.16/406,945.27
  6. Step 6: Final answer
    x = 880,684.28

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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.