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Finding the Third Proportional to 261,114 and 390,681

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Solution

The third proportional to 261,114 and 390,681 is: 584,540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,114 : 390,681 = 390,681 : x
  2. Step 2: Convert to fraction form
    261,114/390,681 = 390,681/x
  3. Step 3: Cross multiply
    261,114x = 390,681 × 390,681
  4. Step 4: Simplify right side
    261,114x = 152,631,643,761
  5. Step 5: Solve for x
    x = 152,631,643,761/261,114
  6. Step 6: Final answer
    x = 584,540.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.