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Finding the Third Proportional to 261,360 and 390,996

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Solution

The third proportional to 261,360 and 390,996 is: 584,932.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,360 : 390,996 = 390,996 : x
  2. Step 2: Convert to fraction form
    261,360/390,996 = 390,996/x
  3. Step 3: Cross multiply
    261,360x = 390,996 × 390,996
  4. Step 4: Simplify right side
    261,360x = 152,877,872,016
  5. Step 5: Solve for x
    x = 152,877,872,016/261,360
  6. Step 6: Final answer
    x = 584,932.17

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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.