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Finding the Third Proportional to 410,948,342 and 601,679,211

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Solution

The third proportional to 410,948,342 and 601,679,211 is: 880,932,798.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,948,342 : 601,679,211 = 601,679,211 : x
  2. Step 2: Convert to fraction form
    410,948,342/601,679,211 = 601,679,211/x
  3. Step 3: Cross multiply
    410,948,342x = 601,679,211 × 601,679,211
  4. Step 4: Simplify right side
    410,948,342x = 362,017,872,949,582,528
  5. Step 5: Solve for x
    x = 362,017,872,949,582,528/410,948,342
  6. Step 6: Final answer
    x = 880,932,798.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.