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Finding the Third Proportional to 329,032,016 and 714,704,416

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Solution

The third proportional to 329,032,016 and 714,704,416 is: 1,552,439,815.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,032,016 : 714,704,416 = 714,704,416 : x
  2. Step 2: Convert to fraction form
    329,032,016/714,704,416 = 714,704,416/x
  3. Step 3: Cross multiply
    329,032,016x = 714,704,416 × 714,704,416
  4. Step 4: Simplify right side
    329,032,016x = 510,802,402,249,901,056
  5. Step 5: Solve for x
    x = 510,802,402,249,901,056/329,032,016
  6. Step 6: Final answer
    x = 1,552,439,815.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.