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Finding the Third Proportional to 385,927 and 596,386

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Solution

The third proportional to 385,927 and 596,386 is: 921,615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,927 : 596,386 = 596,386 : x
  2. Step 2: Convert to fraction form
    385,927/596,386 = 596,386/x
  3. Step 3: Cross multiply
    385,927x = 596,386 × 596,386
  4. Step 4: Simplify right side
    385,927x = 355,676,260,996
  5. Step 5: Solve for x
    x = 355,676,260,996/385,927
  6. Step 6: Final answer
    x = 921,615.39

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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.