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Finding the Third Proportional to 497,859,288 and 719,258,769

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Solution

The third proportional to 497,859,288 and 719,258,769 is: 1,039,115,246.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,859,288 : 719,258,769 = 719,258,769 : x
  2. Step 2: Convert to fraction form
    497,859,288/719,258,769 = 719,258,769/x
  3. Step 3: Cross multiply
    497,859,288x = 719,258,769 × 719,258,769
  4. Step 4: Simplify right side
    497,859,288x = 517,333,176,783,395,392
  5. Step 5: Solve for x
    x = 517,333,176,783,395,392/497,859,288
  6. Step 6: Final answer
    x = 1,039,115,246.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.