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Finding the Third Proportional to 375,412 and 581,776

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Solution

The third proportional to 375,412 and 581,776 is: 901,578.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,412 : 581,776 = 581,776 : x
  2. Step 2: Convert to fraction form
    375,412/581,776 = 581,776/x
  3. Step 3: Cross multiply
    375,412x = 581,776 × 581,776
  4. Step 4: Simplify right side
    375,412x = 338,463,314,176
  5. Step 5: Solve for x
    x = 338,463,314,176/375,412
  6. Step 6: Final answer
    x = 901,578.30

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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.