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Finding the Third Proportional to 265,411,005.75 and 398,116,543.50

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Solution

The third proportional to 265,411,005.75 and 398,116,543.50 is: 597,174,867.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,411,005.75 : 398,116,543.50 = 398,116,543.50 : x
  2. Step 2: Convert to fraction form
    265,411,005.75/398,116,543.50 = 398,116,543.50/x
  3. Step 3: Cross multiply
    265,411,005.75x = 398,116,543.50 × 398,116,543.50
  4. Step 4: Simplify right side
    265,411,005.75x = 158,496,782,208,387,392
  5. Step 5: Solve for x
    x = 158,496,782,208,387,392/265,411,005.75
  6. Step 6: Final answer
    x = 597,174,867.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.