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Finding the Third Proportional to 375,504 and 581,810

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Solution

The third proportional to 375,504 and 581,810 is: 901,462.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,504 : 581,810 = 581,810 : x
  2. Step 2: Convert to fraction form
    375,504/581,810 = 581,810/x
  3. Step 3: Cross multiply
    375,504x = 581,810 × 581,810
  4. Step 4: Simplify right side
    375,504x = 338,502,876,100
  5. Step 5: Solve for x
    x = 338,502,876,100/375,504
  6. Step 6: Final answer
    x = 901,462.77

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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.