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Finding the Third Proportional to 713,250 and 971,457

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Solution

The third proportional to 713,250 and 971,457 is: 1,323,138.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,250 : 971,457 = 971,457 : x
  2. Step 2: Convert to fraction form
    713,250/971,457 = 971,457/x
  3. Step 3: Cross multiply
    713,250x = 971,457 × 971,457
  4. Step 4: Simplify right side
    713,250x = 943,728,702,849
  5. Step 5: Solve for x
    x = 943,728,702,849/713,250
  6. Step 6: Final answer
    x = 1,323,138.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.