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Finding the Third Proportional to 385,460 and 593,220

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Solution

The third proportional to 385,460 and 593,220 is: 912,961.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,460 : 593,220 = 593,220 : x
  2. Step 2: Convert to fraction form
    385,460/593,220 = 593,220/x
  3. Step 3: Cross multiply
    385,460x = 593,220 × 593,220
  4. Step 4: Simplify right side
    385,460x = 351,909,968,400
  5. Step 5: Solve for x
    x = 351,909,968,400/385,460
  6. Step 6: Final answer
    x = 912,961.06

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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.