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Finding the Third Proportional to 300,672 and 462,345.75

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Solution

The third proportional to 300,672 and 462,345.75 is: 710,952.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,672 : 462,345.75 = 462,345.75 : x
  2. Step 2: Convert to fraction form
    300,672/462,345.75 = 462,345.75/x
  3. Step 3: Cross multiply
    300,672x = 462,345.75 × 462,345.75
  4. Step 4: Simplify right side
    300,672x = 213,763,592,543.06
  5. Step 5: Solve for x
    x = 213,763,592,543.06/300,672
  6. Step 6: Final answer
    x = 710,952.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.