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Finding the Third Proportional to 497,304 and 1,073,232

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Solution

The third proportional to 497,304 and 1,073,232 is: 2,316,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,304 : 1,073,232 = 1,073,232 : x
  2. Step 2: Convert to fraction form
    497,304/1,073,232 = 1,073,232/x
  3. Step 3: Cross multiply
    497,304x = 1,073,232 × 1,073,232
  4. Step 4: Simplify right side
    497,304x = 1,151,826,925,824
  5. Step 5: Solve for x
    x = 1,151,826,925,824/497,304
  6. Step 6: Final answer
    x = 2,316,142.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.