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Finding the Third Proportional to 315,080 and 470,562

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Solution

The third proportional to 315,080 and 470,562 is: 702,769.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,080 : 470,562 = 470,562 : x
  2. Step 2: Convert to fraction form
    315,080/470,562 = 470,562/x
  3. Step 3: Cross multiply
    315,080x = 470,562 × 470,562
  4. Step 4: Simplify right side
    315,080x = 221,428,595,844
  5. Step 5: Solve for x
    x = 221,428,595,844/315,080
  6. Step 6: Final answer
    x = 702,769.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.