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Finding the Third Proportional to 651,949 and 997,304

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Solution

The third proportional to 651,949 and 997,304 is: 1,525,602.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,949 : 997,304 = 997,304 : x
  2. Step 2: Convert to fraction form
    651,949/997,304 = 997,304/x
  3. Step 3: Cross multiply
    651,949x = 997,304 × 997,304
  4. Step 4: Simplify right side
    651,949x = 994,615,268,416
  5. Step 5: Solve for x
    x = 994,615,268,416/651,949
  6. Step 6: Final answer
    x = 1,525,602.87

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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.