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Finding the Third Proportional to 372,528 and 804,576

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Solution

The third proportional to 372,528 and 804,576 is: 1,737,701.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,528 : 804,576 = 804,576 : x
  2. Step 2: Convert to fraction form
    372,528/804,576 = 804,576/x
  3. Step 3: Cross multiply
    372,528x = 804,576 × 804,576
  4. Step 4: Simplify right side
    372,528x = 647,342,539,776
  5. Step 5: Solve for x
    x = 647,342,539,776/372,528
  6. Step 6: Final answer
    x = 1,737,701.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.