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Finding the Third Proportional to 328,070.25 and 506,624.63

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Solution

The third proportional to 328,070.25 and 506,624.63 is: 782,358.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,070.25 : 506,624.63 = 506,624.63 : x
  2. Step 2: Convert to fraction form
    328,070.25/506,624.63 = 506,624.63/x
  3. Step 3: Cross multiply
    328,070.25x = 506,624.63 × 506,624.63
  4. Step 4: Simplify right side
    328,070.25x = 256,668,510,656.39
  5. Step 5: Solve for x
    x = 256,668,510,656.39/328,070.25
  6. Step 6: Final answer
    x = 782,358.38

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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.