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Finding the Third Proportional to 593,368 and 920,480

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Solution

The third proportional to 593,368 and 920,480 is: 1,427,922.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,368 : 920,480 = 920,480 : x
  2. Step 2: Convert to fraction form
    593,368/920,480 = 920,480/x
  3. Step 3: Cross multiply
    593,368x = 920,480 × 920,480
  4. Step 4: Simplify right side
    593,368x = 847,283,430,400
  5. Step 5: Solve for x
    x = 847,283,430,400/593,368
  6. Step 6: Final answer
    x = 1,427,922.35

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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.