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Finding the Third Proportional to 269,028,000 and 579,316,624

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Solution

The third proportional to 269,028,000 and 579,316,624 is: 1,247,482,607.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,028,000 : 579,316,624 = 579,316,624 : x
  2. Step 2: Convert to fraction form
    269,028,000/579,316,624 = 579,316,624/x
  3. Step 3: Cross multiply
    269,028,000x = 579,316,624 × 579,316,624
  4. Step 4: Simplify right side
    269,028,000x = 335,607,750,842,757,376
  5. Step 5: Solve for x
    x = 335,607,750,842,757,376/269,028,000
  6. Step 6: Final answer
    x = 1,247,482,607.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.