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Finding the Third Proportional to 361,379,643 and 487,585,984

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Solution

The third proportional to 361,379,643 and 487,585,984 is: 657,867,969.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,379,643 : 487,585,984 = 487,585,984 : x
  2. Step 2: Convert to fraction form
    361,379,643/487,585,984 = 487,585,984/x
  3. Step 3: Cross multiply
    361,379,643x = 487,585,984 × 487,585,984
  4. Step 4: Simplify right side
    361,379,643x = 237,740,091,793,248,256
  5. Step 5: Solve for x
    x = 237,740,091,793,248,256/361,379,643
  6. Step 6: Final answer
    x = 657,867,969.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.