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Finding the Third Proportional to 385,926 and 596,392

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Solution

The third proportional to 385,926 and 596,392 is: 921,636.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,926 : 596,392 = 596,392 : x
  2. Step 2: Convert to fraction form
    385,926/596,392 = 596,392/x
  3. Step 3: Cross multiply
    385,926x = 596,392 × 596,392
  4. Step 4: Simplify right side
    385,926x = 355,683,417,664
  5. Step 5: Solve for x
    x = 355,683,417,664/385,926
  6. Step 6: Final answer
    x = 921,636.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.