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Finding the Third Proportional to 296,080 and 651,206

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Solution

The third proportional to 296,080 and 651,206 is: 1,432,279.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,080 : 651,206 = 651,206 : x
  2. Step 2: Convert to fraction form
    296,080/651,206 = 651,206/x
  3. Step 3: Cross multiply
    296,080x = 651,206 × 651,206
  4. Step 4: Simplify right side
    296,080x = 424,069,254,436
  5. Step 5: Solve for x
    x = 424,069,254,436/296,080
  6. Step 6: Final answer
    x = 1,432,279.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.