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Finding the Third Proportional to 472,278,354 and 740,798,254.50

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Solution

The third proportional to 472,278,354 and 740,798,254.50 is: 1,161,988,579.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,278,354 : 740,798,254.50 = 740,798,254.50 : x
  2. Step 2: Convert to fraction form
    472,278,354/740,798,254.50 = 740,798,254.50/x
  3. Step 3: Cross multiply
    472,278,354x = 740,798,254.50 × 740,798,254.50
  4. Step 4: Simplify right side
    472,278,354x = 548,782,053,870,246,784
  5. Step 5: Solve for x
    x = 548,782,053,870,246,784/472,278,354
  6. Step 6: Final answer
    x = 1,161,988,579.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.