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Finding the Third Proportional to 443,704,023 and 692,417,080.50

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Solution

The third proportional to 443,704,023 and 692,417,080.50 is: 1,080,543,309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,704,023 : 692,417,080.50 = 692,417,080.50 : x
  2. Step 2: Convert to fraction form
    443,704,023/692,417,080.50 = 692,417,080.50/x
  3. Step 3: Cross multiply
    443,704,023x = 692,417,080.50 × 692,417,080.50
  4. Step 4: Simplify right side
    443,704,023x = 479,441,413,368,143,488
  5. Step 5: Solve for x
    x = 479,441,413,368,143,488/443,704,023
  6. Step 6: Final answer
    x = 1,080,543,309.31

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.