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Finding the Third Proportional to 406,971 and 598,701.38

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Solution

The third proportional to 406,971 and 598,701.38 is: 880,758.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,971 : 598,701.38 = 598,701.38 : x
  2. Step 2: Convert to fraction form
    406,971/598,701.38 = 598,701.38/x
  3. Step 3: Cross multiply
    406,971x = 598,701.38 × 598,701.38
  4. Step 4: Simplify right side
    406,971x = 358,443,336,426.89
  5. Step 5: Solve for x
    x = 358,443,336,426.89/406,971
  6. Step 6: Final answer
    x = 880,758.92

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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.