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Finding the Third Proportional to 316,864.50 and 704,574

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Solution

The third proportional to 316,864.50 and 704,574 is: 1,566,677.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,864.50 : 704,574 = 704,574 : x
  2. Step 2: Convert to fraction form
    316,864.50/704,574 = 704,574/x
  3. Step 3: Cross multiply
    316,864.50x = 704,574 × 704,574
  4. Step 4: Simplify right side
    316,864.50x = 496,424,521,476
  5. Step 5: Solve for x
    x = 496,424,521,476/316,864.50
  6. Step 6: Final answer
    x = 1,566,677.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.