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Finding the Third Proportional to 375,407 and 581,770

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Solution

The third proportional to 375,407 and 581,770 is: 901,571.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,407 : 581,770 = 581,770 : x
  2. Step 2: Convert to fraction form
    375,407/581,770 = 581,770/x
  3. Step 3: Cross multiply
    375,407x = 581,770 × 581,770
  4. Step 4: Simplify right side
    375,407x = 338,456,332,900
  5. Step 5: Solve for x
    x = 338,456,332,900/375,407
  6. Step 6: Final answer
    x = 901,571.72

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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.