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Finding the Third Proportional to 370,552 and 758,576

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Solution

The third proportional to 370,552 and 758,576 is: 1,552,919.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,552 : 758,576 = 758,576 : x
  2. Step 2: Convert to fraction form
    370,552/758,576 = 758,576/x
  3. Step 3: Cross multiply
    370,552x = 758,576 × 758,576
  4. Step 4: Simplify right side
    370,552x = 575,437,547,776
  5. Step 5: Solve for x
    x = 575,437,547,776/370,552
  6. Step 6: Final answer
    x = 1,552,919.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.