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Finding the Third Proportional to 385,464 and 593,226

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Solution

The third proportional to 385,464 and 593,226 is: 912,970.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,464 : 593,226 = 593,226 : x
  2. Step 2: Convert to fraction form
    385,464/593,226 = 593,226/x
  3. Step 3: Cross multiply
    385,464x = 593,226 × 593,226
  4. Step 4: Simplify right side
    385,464x = 351,917,087,076
  5. Step 5: Solve for x
    x = 351,917,087,076/385,464
  6. Step 6: Final answer
    x = 912,970.05

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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.