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Finding the Third Proportional to 261,310 and 390,952

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Solution

The third proportional to 261,310 and 390,952 is: 584,912.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,310 : 390,952 = 390,952 : x
  2. Step 2: Convert to fraction form
    261,310/390,952 = 390,952/x
  3. Step 3: Cross multiply
    261,310x = 390,952 × 390,952
  4. Step 4: Simplify right side
    261,310x = 152,843,466,304
  5. Step 5: Solve for x
    x = 152,843,466,304/261,310
  6. Step 6: Final answer
    x = 584,912.43

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Why These Related Problems?

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