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Finding the Third Proportional to 355,164 and 527,346

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Solution

The third proportional to 355,164 and 527,346 is: 783,001.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,164 : 527,346 = 527,346 : x
  2. Step 2: Convert to fraction form
    355,164/527,346 = 527,346/x
  3. Step 3: Cross multiply
    355,164x = 527,346 × 527,346
  4. Step 4: Simplify right side
    355,164x = 278,093,803,716
  5. Step 5: Solve for x
    x = 278,093,803,716/355,164
  6. Step 6: Final answer
    x = 783,001.10

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.