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Finding the Third Proportional to 357,960,576.38 and 552,262,872.94

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Solution

The third proportional to 357,960,576.38 and 552,262,872.94 is: 852,033,159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,960,576.38 : 552,262,872.94 = 552,262,872.94 : x
  2. Step 2: Convert to fraction form
    357,960,576.38/552,262,872.94 = 552,262,872.94/x
  3. Step 3: Cross multiply
    357,960,576.38x = 552,262,872.94 × 552,262,872.94
  4. Step 4: Simplify right side
    357,960,576.38x = 304,994,280,825,181,248
  5. Step 5: Solve for x
    x = 304,994,280,825,181,248/357,960,576.38
  6. Step 6: Final answer
    x = 852,033,159.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.