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Finding the Third Proportional to 651,988.13 and 997,344.84

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Solution

The third proportional to 651,988.13 and 997,344.84 is: 1,525,636.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,988.13 : 997,344.84 = 997,344.84 : x
  2. Step 2: Convert to fraction form
    651,988.13/997,344.84 = 997,344.84/x
  3. Step 3: Cross multiply
    651,988.13x = 997,344.84 × 997,344.84
  4. Step 4: Simplify right side
    651,988.13x = 994,696,737,354.71
  5. Step 5: Solve for x
    x = 994,696,737,354.71/651,988.13
  6. Step 6: Final answer
    x = 1,525,636.28

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