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Finding the Third Proportional to 341,665,342 and 510,259,109

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Solution

The third proportional to 341,665,342 and 510,259,109 is: 762,044,978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,665,342 : 510,259,109 = 510,259,109 : x
  2. Step 2: Convert to fraction form
    341,665,342/510,259,109 = 510,259,109/x
  3. Step 3: Cross multiply
    341,665,342x = 510,259,109 × 510,259,109
  4. Step 4: Simplify right side
    341,665,342x = 260,364,358,317,473,888
  5. Step 5: Solve for x
    x = 260,364,358,317,473,888/341,665,342
  6. Step 6: Final answer
    x = 762,044,978.85

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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.