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Finding the Third Proportional to 341,665,337.75 and 510,259,103.50

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Solution

The third proportional to 341,665,337.75 and 510,259,103.50 is: 762,044,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,665,337.75 : 510,259,103.50 = 510,259,103.50 : x
  2. Step 2: Convert to fraction form
    341,665,337.75/510,259,103.50 = 510,259,103.50/x
  3. Step 3: Cross multiply
    341,665,337.75x = 510,259,103.50 × 510,259,103.50
  4. Step 4: Simplify right side
    341,665,337.75x = 260,364,352,704,623,712
  5. Step 5: Solve for x
    x = 260,364,352,704,623,712/341,665,337.75
  6. Step 6: Final answer
    x = 762,044,971.90

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