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Finding the Third Proportional to 480,082 and 700,386

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Solution

The third proportional to 480,082 and 700,386 is: 1,021,784.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,082 : 700,386 = 700,386 : x
  2. Step 2: Convert to fraction form
    480,082/700,386 = 700,386/x
  3. Step 3: Cross multiply
    480,082x = 700,386 × 700,386
  4. Step 4: Simplify right side
    480,082x = 490,540,548,996
  5. Step 5: Solve for x
    x = 490,540,548,996/480,082
  6. Step 6: Final answer
    x = 1,021,784.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.