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Finding the Third Proportional to 658,064 and 991,960

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Solution

The third proportional to 658,064 and 991,960 is: 1,495,271.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,064 : 991,960 = 991,960 : x
  2. Step 2: Convert to fraction form
    658,064/991,960 = 991,960/x
  3. Step 3: Cross multiply
    658,064x = 991,960 × 991,960
  4. Step 4: Simplify right side
    658,064x = 983,984,641,600
  5. Step 5: Solve for x
    x = 983,984,641,600/658,064
  6. Step 6: Final answer
    x = 1,495,271.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.