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Finding the Third Proportional to 503,074 and 747,772

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Solution

The third proportional to 503,074 and 747,772 is: 1,111,492.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,074 : 747,772 = 747,772 : x
  2. Step 2: Convert to fraction form
    503,074/747,772 = 747,772/x
  3. Step 3: Cross multiply
    503,074x = 747,772 × 747,772
  4. Step 4: Simplify right side
    503,074x = 559,162,963,984
  5. Step 5: Solve for x
    x = 559,162,963,984/503,074
  6. Step 6: Final answer
    x = 1,111,492.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.