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Finding the Third Proportional to 424,812 and 651,960

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Solution

The third proportional to 424,812 and 651,960 is: 1,000,564.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,812 : 651,960 = 651,960 : x
  2. Step 2: Convert to fraction form
    424,812/651,960 = 651,960/x
  3. Step 3: Cross multiply
    424,812x = 651,960 × 651,960
  4. Step 4: Simplify right side
    424,812x = 425,051,841,600
  5. Step 5: Solve for x
    x = 425,051,841,600/424,812
  6. Step 6: Final answer
    x = 1,000,564.58

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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.