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Finding the Third Proportional to 334,557,216 and 724,717,323

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Solution

The third proportional to 334,557,216 and 724,717,323 is: 1,569,881,542.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,557,216 : 724,717,323 = 724,717,323 : x
  2. Step 2: Convert to fraction form
    334,557,216/724,717,323 = 724,717,323/x
  3. Step 3: Cross multiply
    334,557,216x = 724,717,323 × 724,717,323
  4. Step 4: Simplify right side
    334,557,216x = 525,215,198,256,286,336
  5. Step 5: Solve for x
    x = 525,215,198,256,286,336/334,557,216
  6. Step 6: Final answer
    x = 1,569,881,542.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.