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Finding the Third Proportional to 326,217 and 716,586

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Solution

The third proportional to 326,217 and 716,586 is: 1,574,091.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,217 : 716,586 = 716,586 : x
  2. Step 2: Convert to fraction form
    326,217/716,586 = 716,586/x
  3. Step 3: Cross multiply
    326,217x = 716,586 × 716,586
  4. Step 4: Simplify right side
    326,217x = 513,495,495,396
  5. Step 5: Solve for x
    x = 513,495,495,396/326,217
  6. Step 6: Final answer
    x = 1,574,091.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.