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Finding the Third Proportional to 266,705 and 583,202

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Solution

The third proportional to 266,705 and 583,202 is: 1,275,283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,705 : 583,202 = 583,202 : x
  2. Step 2: Convert to fraction form
    266,705/583,202 = 583,202/x
  3. Step 3: Cross multiply
    266,705x = 583,202 × 583,202
  4. Step 4: Simplify right side
    266,705x = 340,124,572,804
  5. Step 5: Solve for x
    x = 340,124,572,804/266,705
  6. Step 6: Final answer
    x = 1,275,283.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.