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Finding the Third Proportional to 523,368 and 785,700

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Solution

The third proportional to 523,368 and 785,700 is: 1,179,522.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,368 : 785,700 = 785,700 : x
  2. Step 2: Convert to fraction form
    523,368/785,700 = 785,700/x
  3. Step 3: Cross multiply
    523,368x = 785,700 × 785,700
  4. Step 4: Simplify right side
    523,368x = 617,324,490,000
  5. Step 5: Solve for x
    x = 617,324,490,000/523,368
  6. Step 6: Final answer
    x = 1,179,522.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.