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Finding the Third Proportional to 375,304 and 581,995.50

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Solution

The third proportional to 375,304 and 581,995.50 is: 902,518.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,304 : 581,995.50 = 581,995.50 : x
  2. Step 2: Convert to fraction form
    375,304/581,995.50 = 581,995.50/x
  3. Step 3: Cross multiply
    375,304x = 581,995.50 × 581,995.50
  4. Step 4: Simplify right side
    375,304x = 338,718,762,020.25
  5. Step 5: Solve for x
    x = 338,718,762,020.25/375,304
  6. Step 6: Final answer
    x = 902,518.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.