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Finding the Third Proportional to 315,911 and 654,178.50

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Solution

The third proportional to 315,911 and 654,178.50 is: 1,354,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,911 : 654,178.50 = 654,178.50 : x
  2. Step 2: Convert to fraction form
    315,911/654,178.50 = 654,178.50/x
  3. Step 3: Cross multiply
    315,911x = 654,178.50 × 654,178.50
  4. Step 4: Simplify right side
    315,911x = 427,949,509,862.25
  5. Step 5: Solve for x
    x = 427,949,509,862.25/315,911
  6. Step 6: Final answer
    x = 1,354,652.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.