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Finding the Third Proportional to 475,128 and 713,316

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Solution

The third proportional to 475,128 and 713,316 is: 1,070,910.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,128 : 713,316 = 713,316 : x
  2. Step 2: Convert to fraction form
    475,128/713,316 = 713,316/x
  3. Step 3: Cross multiply
    475,128x = 713,316 × 713,316
  4. Step 4: Simplify right side
    475,128x = 508,819,715,856
  5. Step 5: Solve for x
    x = 508,819,715,856/475,128
  6. Step 6: Final answer
    x = 1,070,910.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.