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Finding the Third Proportional to 341,025,719 and 739,402,273

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Solution

The third proportional to 341,025,719 and 739,402,273 is: 1,603,150,996.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,025,719 : 739,402,273 = 739,402,273 : x
  2. Step 2: Convert to fraction form
    341,025,719/739,402,273 = 739,402,273/x
  3. Step 3: Cross multiply
    341,025,719x = 739,402,273 × 739,402,273
  4. Step 4: Simplify right side
    341,025,719x = 546,715,721,317,566,528
  5. Step 5: Solve for x
    x = 546,715,721,317,566,528/341,025,719
  6. Step 6: Final answer
    x = 1,603,150,996.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.