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Finding the Third Proportional to 623,323.50 and 967,062

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Solution

The third proportional to 623,323.50 and 967,062 is: 1,500,358.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,323.50 : 967,062 = 967,062 : x
  2. Step 2: Convert to fraction form
    623,323.50/967,062 = 967,062/x
  3. Step 3: Cross multiply
    623,323.50x = 967,062 × 967,062
  4. Step 4: Simplify right side
    623,323.50x = 935,208,911,844
  5. Step 5: Solve for x
    x = 935,208,911,844/623,323.50
  6. Step 6: Final answer
    x = 1,500,358.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.