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Finding the Third Proportional to 497,604 and 749,988

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Solution

The third proportional to 497,604 and 749,988 is: 1,130,380.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,604 : 749,988 = 749,988 : x
  2. Step 2: Convert to fraction form
    497,604/749,988 = 749,988/x
  3. Step 3: Cross multiply
    497,604x = 749,988 × 749,988
  4. Step 4: Simplify right side
    497,604x = 562,482,000,144
  5. Step 5: Solve for x
    x = 562,482,000,144/497,604
  6. Step 6: Final answer
    x = 1,130,380.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.