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Finding the Third Proportional to 565,897 and 883,290

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Solution

The third proportional to 565,897 and 883,290 is: 1,378,698.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,897 : 883,290 = 883,290 : x
  2. Step 2: Convert to fraction form
    565,897/883,290 = 883,290/x
  3. Step 3: Cross multiply
    565,897x = 883,290 × 883,290
  4. Step 4: Simplify right side
    565,897x = 780,201,224,100
  5. Step 5: Solve for x
    x = 780,201,224,100/565,897
  6. Step 6: Final answer
    x = 1,378,698.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.