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Finding the Third Proportional to 623,866.50 and 931,641.75

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Solution

The third proportional to 623,866.50 and 931,641.75 is: 1,391,253.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,866.50 : 931,641.75 = 931,641.75 : x
  2. Step 2: Convert to fraction form
    623,866.50/931,641.75 = 931,641.75/x
  3. Step 3: Cross multiply
    623,866.50x = 931,641.75 × 931,641.75
  4. Step 4: Simplify right side
    623,866.50x = 867,956,350,343.06
  5. Step 5: Solve for x
    x = 867,956,350,343.06/623,866.50
  6. Step 6: Final answer
    x = 1,391,253.34

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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.