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Finding the Third Proportional to 385,028 and 592,578

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Solution

The third proportional to 385,028 and 592,578 is: 912,008.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,028 : 592,578 = 592,578 : x
  2. Step 2: Convert to fraction form
    385,028/592,578 = 592,578/x
  3. Step 3: Cross multiply
    385,028x = 592,578 × 592,578
  4. Step 4: Simplify right side
    385,028x = 351,148,686,084
  5. Step 5: Solve for x
    x = 351,148,686,084/385,028
  6. Step 6: Final answer
    x = 912,008.18

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.