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Finding the Third Proportional to 358,396,408 and 781,938,624

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Solution

The third proportional to 358,396,408 and 781,938,624 is: 1,706,010,434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,396,408 : 781,938,624 = 781,938,624 : x
  2. Step 2: Convert to fraction form
    358,396,408/781,938,624 = 781,938,624/x
  3. Step 3: Cross multiply
    358,396,408x = 781,938,624 × 781,938,624
  4. Step 4: Simplify right side
    358,396,408x = 611,428,011,703,013,376
  5. Step 5: Solve for x
    x = 611,428,011,703,013,376/358,396,408
  6. Step 6: Final answer
    x = 1,706,010,434.41

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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.