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Finding the Third Proportional to 424,642 and 651,706

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Solution

The third proportional to 424,642 and 651,706 is: 1,000,185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,642 : 651,706 = 651,706 : x
  2. Step 2: Convert to fraction form
    424,642/651,706 = 651,706/x
  3. Step 3: Cross multiply
    424,642x = 651,706 × 651,706
  4. Step 4: Simplify right side
    424,642x = 424,720,710,436
  5. Step 5: Solve for x
    x = 424,720,710,436/424,642
  6. Step 6: Final answer
    x = 1,000,185.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.