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Finding the Third Proportional to 296,254 and 656,570

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Solution

The third proportional to 296,254 and 656,570 is: 1,455,116.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,254 : 656,570 = 656,570 : x
  2. Step 2: Convert to fraction form
    296,254/656,570 = 656,570/x
  3. Step 3: Cross multiply
    296,254x = 656,570 × 656,570
  4. Step 4: Simplify right side
    296,254x = 431,084,164,900
  5. Step 5: Solve for x
    x = 431,084,164,900/296,254
  6. Step 6: Final answer
    x = 1,455,116.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.