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Finding the Third Proportional to 418,484,112 and 574,464,432

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Solution

The third proportional to 418,484,112 and 574,464,432 is: 788,582,825.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,484,112 : 574,464,432 = 574,464,432 : x
  2. Step 2: Convert to fraction form
    418,484,112/574,464,432 = 574,464,432/x
  3. Step 3: Cross multiply
    418,484,112x = 574,464,432 × 574,464,432
  4. Step 4: Simplify right side
    418,484,112x = 330,009,383,633,082,624
  5. Step 5: Solve for x
    x = 330,009,383,633,082,624/418,484,112
  6. Step 6: Final answer
    x = 788,582,825.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.