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Finding the Third Proportional to 322,462,557 and 658,459,876.50

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Solution

The third proportional to 322,462,557 and 658,459,876.50 is: 1,344,557,374.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,462,557 : 658,459,876.50 = 658,459,876.50 : x
  2. Step 2: Convert to fraction form
    322,462,557/658,459,876.50 = 658,459,876.50/x
  3. Step 3: Cross multiply
    322,462,557x = 658,459,876.50 × 658,459,876.50
  4. Step 4: Simplify right side
    322,462,557x = 433,569,408,960,395,264
  5. Step 5: Solve for x
    x = 433,569,408,960,395,264/322,462,557
  6. Step 6: Final answer
    x = 1,344,557,374.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.