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Finding the Third Proportional to 428,301,789 and 577,879,672

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Solution

The third proportional to 428,301,789 and 577,879,672 is: 779,695,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,301,789 : 577,879,672 = 577,879,672 : x
  2. Step 2: Convert to fraction form
    428,301,789/577,879,672 = 577,879,672/x
  3. Step 3: Cross multiply
    428,301,789x = 577,879,672 × 577,879,672
  4. Step 4: Simplify right side
    428,301,789x = 333,944,915,310,827,584
  5. Step 5: Solve for x
    x = 333,944,915,310,827,584/428,301,789
  6. Step 6: Final answer
    x = 779,695,354.74

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.