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Finding the Third Proportional to 593,388 and 920,484

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Solution

The third proportional to 593,388 and 920,484 is: 1,427,886.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,388 : 920,484 = 920,484 : x
  2. Step 2: Convert to fraction form
    593,388/920,484 = 920,484/x
  3. Step 3: Cross multiply
    593,388x = 920,484 × 920,484
  4. Step 4: Simplify right side
    593,388x = 847,290,794,256
  5. Step 5: Solve for x
    x = 847,290,794,256/593,388
  6. Step 6: Final answer
    x = 1,427,886.63

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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.