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Finding the Third Proportional to 358,415,160 and 779,905,588

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Solution

The third proportional to 358,415,160 and 779,905,588 is: 1,697,061,938.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,415,160 : 779,905,588 = 779,905,588 : x
  2. Step 2: Convert to fraction form
    358,415,160/779,905,588 = 779,905,588/x
  3. Step 3: Cross multiply
    358,415,160x = 779,905,588 × 779,905,588
  4. Step 4: Simplify right side
    358,415,160x = 608,252,726,193,625,728
  5. Step 5: Solve for x
    x = 608,252,726,193,625,728/358,415,160
  6. Step 6: Final answer
    x = 1,697,061,938.43

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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.