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Finding the Third Proportional to 470,024 and 706,080

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Solution

The third proportional to 470,024 and 706,080 is: 1,060,688.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,024 : 706,080 = 706,080 : x
  2. Step 2: Convert to fraction form
    470,024/706,080 = 706,080/x
  3. Step 3: Cross multiply
    470,024x = 706,080 × 706,080
  4. Step 4: Simplify right side
    470,024x = 498,548,966,400
  5. Step 5: Solve for x
    x = 498,548,966,400/470,024
  6. Step 6: Final answer
    x = 1,060,688.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.