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Finding the Third Proportional to 470,011.36 and 706,059.28

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Solution

The third proportional to 470,011.36 and 706,059.28 is: 1,060,654.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,011.36 : 706,059.28 = 706,059.28 : x
  2. Step 2: Convert to fraction form
    470,011.36/706,059.28 = 706,059.28/x
  3. Step 3: Cross multiply
    470,011.36x = 706,059.28 × 706,059.28
  4. Step 4: Simplify right side
    470,011.36x = 498,519,708,639.27
  5. Step 5: Solve for x
    x = 498,519,708,639.27/470,011.36
  6. Step 6: Final answer
    x = 1,060,654.60

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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.