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Finding the Third Proportional to 373,080 and 581,952

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Solution

The third proportional to 373,080 and 581,952 is: 907,762.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,080 : 581,952 = 581,952 : x
  2. Step 2: Convert to fraction form
    373,080/581,952 = 581,952/x
  3. Step 3: Cross multiply
    373,080x = 581,952 × 581,952
  4. Step 4: Simplify right side
    373,080x = 338,668,130,304
  5. Step 5: Solve for x
    x = 338,668,130,304/373,080
  6. Step 6: Final answer
    x = 907,762.76

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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.