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Finding the Third Proportional to 428,301,785.25 and 577,879,666.13

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Solution

The third proportional to 428,301,785.25 and 577,879,666.13 is: 779,695,345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,301,785.25 : 577,879,666.13 = 577,879,666.13 : x
  2. Step 2: Convert to fraction form
    428,301,785.25/577,879,666.13 = 577,879,666.13/x
  3. Step 3: Cross multiply
    428,301,785.25x = 577,879,666.13 × 577,879,666.13
  4. Step 4: Simplify right side
    428,301,785.25x = 333,944,908,520,741,504
  5. Step 5: Solve for x
    x = 333,944,908,520,741,504/428,301,785.25
  6. Step 6: Final answer
    x = 779,695,345.71

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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.