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Finding the Third Proportional to 623,931 and 926,719.50

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Solution

The third proportional to 623,931 and 926,719.50 is: 1,376,448.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,931 : 926,719.50 = 926,719.50 : x
  2. Step 2: Convert to fraction form
    623,931/926,719.50 = 926,719.50/x
  3. Step 3: Cross multiply
    623,931x = 926,719.50 × 926,719.50
  4. Step 4: Simplify right side
    623,931x = 858,809,031,680.25
  5. Step 5: Solve for x
    x = 858,809,031,680.25/623,931
  6. Step 6: Final answer
    x = 1,376,448.73

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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.