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Finding the Third Proportional to 360,472,824 and 740,055,402

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Solution

The third proportional to 360,472,824 and 740,055,402 is: 1,519,343,377.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,472,824 : 740,055,402 = 740,055,402 : x
  2. Step 2: Convert to fraction form
    360,472,824/740,055,402 = 740,055,402/x
  3. Step 3: Cross multiply
    360,472,824x = 740,055,402 × 740,055,402
  4. Step 4: Simplify right side
    360,472,824x = 547,681,998,029,381,632
  5. Step 5: Solve for x
    x = 547,681,998,029,381,632/360,472,824
  6. Step 6: Final answer
    x = 1,519,343,377.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.