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Finding the Third Proportional to 341,665,337.25 and 510,259,102.88

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Solution

The third proportional to 341,665,337.25 and 510,259,102.88 is: 762,044,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,665,337.25 : 510,259,102.88 = 510,259,102.88 : x
  2. Step 2: Convert to fraction form
    341,665,337.25/510,259,102.88 = 510,259,102.88/x
  3. Step 3: Cross multiply
    341,665,337.25x = 510,259,102.88 × 510,259,102.88
  4. Step 4: Simplify right side
    341,665,337.25x = 260,364,352,066,799,840
  5. Step 5: Solve for x
    x = 260,364,352,066,799,840/341,665,337.25
  6. Step 6: Final answer
    x = 762,044,971.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.