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Finding the Third Proportional to 438,974,783 and 597,910,523.25

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Solution

The third proportional to 438,974,783 and 597,910,523.25 is: 814,390,729.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,974,783 : 597,910,523.25 = 597,910,523.25 : x
  2. Step 2: Convert to fraction form
    438,974,783/597,910,523.25 = 597,910,523.25/x
  3. Step 3: Cross multiply
    438,974,783x = 597,910,523.25 × 597,910,523.25
  4. Step 4: Simplify right side
    438,974,783x = 357,496,993,813,088,768
  5. Step 5: Solve for x
    x = 357,496,993,813,088,768/438,974,783
  6. Step 6: Final answer
    x = 814,390,729.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.