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Finding the Third Proportional to 583,376 and 875,613

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Solution

The third proportional to 583,376 and 875,613 is: 1,314,243.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,376 : 875,613 = 875,613 : x
  2. Step 2: Convert to fraction form
    583,376/875,613 = 875,613/x
  3. Step 3: Cross multiply
    583,376x = 875,613 × 875,613
  4. Step 4: Simplify right side
    583,376x = 766,698,125,769
  5. Step 5: Solve for x
    x = 766,698,125,769/583,376
  6. Step 6: Final answer
    x = 1,314,243.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.