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Finding the Third Proportional to 375,670,972.50 and 584,973,760.50

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Solution

The third proportional to 375,670,972.50 and 584,973,760.50 is: 910,888,318.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,670,972.50 : 584,973,760.50 = 584,973,760.50 : x
  2. Step 2: Convert to fraction form
    375,670,972.50/584,973,760.50 = 584,973,760.50/x
  3. Step 3: Cross multiply
    375,670,972.50x = 584,973,760.50 × 584,973,760.50
  4. Step 4: Simplify right side
    375,670,972.50x = 342,194,300,473,511,360
  5. Step 5: Solve for x
    x = 342,194,300,473,511,360/375,670,972.50
  6. Step 6: Final answer
    x = 910,888,318.56

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Why These Related Problems?

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