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Finding the Third Proportional to 304,902 and 452,929.50

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Solution

The third proportional to 304,902 and 452,929.50 is: 672,823.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,902 : 452,929.50 = 452,929.50 : x
  2. Step 2: Convert to fraction form
    304,902/452,929.50 = 452,929.50/x
  3. Step 3: Cross multiply
    304,902x = 452,929.50 × 452,929.50
  4. Step 4: Simplify right side
    304,902x = 205,145,131,970.25
  5. Step 5: Solve for x
    x = 205,145,131,970.25/304,902
  6. Step 6: Final answer
    x = 672,823.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.