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Finding the Third Proportional to 385,488 and 593,262

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Solution

The third proportional to 385,488 and 593,262 is: 913,024.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,488 : 593,262 = 593,262 : x
  2. Step 2: Convert to fraction form
    385,488/593,262 = 593,262/x
  3. Step 3: Cross multiply
    385,488x = 593,262 × 593,262
  4. Step 4: Simplify right side
    385,488x = 351,959,800,644
  5. Step 5: Solve for x
    x = 351,959,800,644/385,488
  6. Step 6: Final answer
    x = 913,024.01

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Why These Related Problems?

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