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Finding the Third Proportional to 325,545 and 497,700

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Solution

The third proportional to 325,545 and 497,700 is: 760,894.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,545 : 497,700 = 497,700 : x
  2. Step 2: Convert to fraction form
    325,545/497,700 = 497,700/x
  3. Step 3: Cross multiply
    325,545x = 497,700 × 497,700
  4. Step 4: Simplify right side
    325,545x = 247,705,290,000
  5. Step 5: Solve for x
    x = 247,705,290,000/325,545
  6. Step 6: Final answer
    x = 760,894.16

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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.