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Finding the Third Proportional to 651,480 and 996,594

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Solution

The third proportional to 651,480 and 996,594 is: 1,524,528.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,480 : 996,594 = 996,594 : x
  2. Step 2: Convert to fraction form
    651,480/996,594 = 996,594/x
  3. Step 3: Cross multiply
    651,480x = 996,594 × 996,594
  4. Step 4: Simplify right side
    651,480x = 993,199,600,836
  5. Step 5: Solve for x
    x = 993,199,600,836/651,480
  6. Step 6: Final answer
    x = 1,524,528.15

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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.