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Finding the Third Proportional to 592,300 and 866,236

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Solution

The third proportional to 592,300 and 866,236 is: 1,266,866.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,300 : 866,236 = 866,236 : x
  2. Step 2: Convert to fraction form
    592,300/866,236 = 866,236/x
  3. Step 3: Cross multiply
    592,300x = 866,236 × 866,236
  4. Step 4: Simplify right side
    592,300x = 750,364,807,696
  5. Step 5: Solve for x
    x = 750,364,807,696/592,300
  6. Step 6: Final answer
    x = 1,266,866.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.