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Finding the Third Proportional to 651,968 and 997,328

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Solution

The third proportional to 651,968 and 997,328 is: 1,525,631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,968 : 997,328 = 997,328 : x
  2. Step 2: Convert to fraction form
    651,968/997,328 = 997,328/x
  3. Step 3: Cross multiply
    651,968x = 997,328 × 997,328
  4. Step 4: Simplify right side
    651,968x = 994,663,139,584
  5. Step 5: Solve for x
    x = 994,663,139,584/651,968
  6. Step 6: Final answer
    x = 1,525,631.84

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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.