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Finding the Third Proportional to 317,088 and 704,160

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Solution

The third proportional to 317,088 and 704,160 is: 1,563,734.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,088 : 704,160 = 704,160 : x
  2. Step 2: Convert to fraction form
    317,088/704,160 = 704,160/x
  3. Step 3: Cross multiply
    317,088x = 704,160 × 704,160
  4. Step 4: Simplify right side
    317,088x = 495,841,305,600
  5. Step 5: Solve for x
    x = 495,841,305,600/317,088
  6. Step 6: Final answer
    x = 1,563,734.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.