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Finding the Third Proportional to 256,340,557 and 550,900,585

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Solution

The third proportional to 256,340,557 and 550,900,585 is: 1,183,938,500.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,340,557 : 550,900,585 = 550,900,585 : x
  2. Step 2: Convert to fraction form
    256,340,557/550,900,585 = 550,900,585/x
  3. Step 3: Cross multiply
    256,340,557x = 550,900,585 × 550,900,585
  4. Step 4: Simplify right side
    256,340,557x = 303,491,454,553,342,208
  5. Step 5: Solve for x
    x = 303,491,454,553,342,208/256,340,557
  6. Step 6: Final answer
    x = 1,183,938,500.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.