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Finding the Third Proportional to 637,688 and 976,620

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Solution

The third proportional to 637,688 and 976,620 is: 1,495,694.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,688 : 976,620 = 976,620 : x
  2. Step 2: Convert to fraction form
    637,688/976,620 = 976,620/x
  3. Step 3: Cross multiply
    637,688x = 976,620 × 976,620
  4. Step 4: Simplify right side
    637,688x = 953,786,624,400
  5. Step 5: Solve for x
    x = 953,786,624,400/637,688
  6. Step 6: Final answer
    x = 1,495,694.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.