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Finding the Third Proportional to 244,292,347 and 532,480,214

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Solution

The third proportional to 244,292,347 and 532,480,214 is: 1,160,638,807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,292,347 : 532,480,214 = 532,480,214 : x
  2. Step 2: Convert to fraction form
    244,292,347/532,480,214 = 532,480,214/x
  3. Step 3: Cross multiply
    244,292,347x = 532,480,214 × 532,480,214
  4. Step 4: Simplify right side
    244,292,347x = 283,535,178,301,485,792
  5. Step 5: Solve for x
    x = 283,535,178,301,485,792/244,292,347
  6. Step 6: Final answer
    x = 1,160,638,807.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.