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Finding the Third Proportional to 328,944 and 704,528

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Solution

The third proportional to 328,944 and 704,528 is: 1,508,948.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,944 : 704,528 = 704,528 : x
  2. Step 2: Convert to fraction form
    328,944/704,528 = 704,528/x
  3. Step 3: Cross multiply
    328,944x = 704,528 × 704,528
  4. Step 4: Simplify right side
    328,944x = 496,359,702,784
  5. Step 5: Solve for x
    x = 496,359,702,784/328,944
  6. Step 6: Final answer
    x = 1,508,948.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.