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Finding the Third Proportional to 393,398,693 and 577,343,407

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Solution

The third proportional to 393,398,693 and 577,343,407 is: 847,296,687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,398,693 : 577,343,407 = 577,343,407 : x
  2. Step 2: Convert to fraction form
    393,398,693/577,343,407 = 577,343,407/x
  3. Step 3: Cross multiply
    393,398,693x = 577,343,407 × 577,343,407
  4. Step 4: Simplify right side
    393,398,693x = 333,325,409,606,367,680
  5. Step 5: Solve for x
    x = 333,325,409,606,367,680/393,398,693
  6. Step 6: Final answer
    x = 847,296,687.91

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.