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Finding the Third Proportional to 341,161,502 and 498,947,319

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Solution

The third proportional to 341,161,502 and 498,947,319 is: 729,708,439.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,161,502 : 498,947,319 = 498,947,319 : x
  2. Step 2: Convert to fraction form
    341,161,502/498,947,319 = 498,947,319/x
  3. Step 3: Cross multiply
    341,161,502x = 498,947,319 × 498,947,319
  4. Step 4: Simplify right side
    341,161,502x = 248,948,427,137,287,776
  5. Step 5: Solve for x
    x = 248,948,427,137,287,776/341,161,502
  6. Step 6: Final answer
    x = 729,708,439.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.