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Finding the Third Proportional to 652,217 and 975,326

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Solution

The third proportional to 652,217 and 975,326 is: 1,458,503.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,217 : 975,326 = 975,326 : x
  2. Step 2: Convert to fraction form
    652,217/975,326 = 975,326/x
  3. Step 3: Cross multiply
    652,217x = 975,326 × 975,326
  4. Step 4: Simplify right side
    652,217x = 951,260,806,276
  5. Step 5: Solve for x
    x = 951,260,806,276/652,217
  6. Step 6: Final answer
    x = 1,458,503.54

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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.