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Finding the Third Proportional to 328,482 and 708,237

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Solution

The third proportional to 328,482 and 708,237 is: 1,527,023.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,482 : 708,237 = 708,237 : x
  2. Step 2: Convert to fraction form
    328,482/708,237 = 708,237/x
  3. Step 3: Cross multiply
    328,482x = 708,237 × 708,237
  4. Step 4: Simplify right side
    328,482x = 501,599,648,169
  5. Step 5: Solve for x
    x = 501,599,648,169/328,482
  6. Step 6: Final answer
    x = 1,527,023.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.