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Finding the Third Proportional to 317,029.50 and 463,878

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Solution

The third proportional to 317,029.50 and 463,878 is: 678,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,029.50 : 463,878 = 463,878 : x
  2. Step 2: Convert to fraction form
    317,029.50/463,878 = 463,878/x
  3. Step 3: Cross multiply
    317,029.50x = 463,878 × 463,878
  4. Step 4: Simplify right side
    317,029.50x = 215,182,798,884
  5. Step 5: Solve for x
    x = 215,182,798,884/317,029.50
  6. Step 6: Final answer
    x = 678,746.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.