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Finding the Third Proportional to 484,187.70 and 711,516.10

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Solution

The third proportional to 484,187.70 and 711,516.10 is: 1,045,576.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,187.70 : 711,516.10 = 711,516.10 : x
  2. Step 2: Convert to fraction form
    484,187.70/711,516.10 = 711,516.10/x
  3. Step 3: Cross multiply
    484,187.70x = 711,516.10 × 711,516.10
  4. Step 4: Simplify right side
    484,187.70x = 506,255,164,172.39
  5. Step 5: Solve for x
    x = 506,255,164,172.39/484,187.70
  6. Step 6: Final answer
    x = 1,045,576.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.