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Finding the Third Proportional to 443,539.50 and 678,612

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Solution

The third proportional to 443,539.50 and 678,612 is: 1,038,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,539.50 : 678,612 = 678,612 : x
  2. Step 2: Convert to fraction form
    443,539.50/678,612 = 678,612/x
  3. Step 3: Cross multiply
    443,539.50x = 678,612 × 678,612
  4. Step 4: Simplify right side
    443,539.50x = 460,514,246,544
  5. Step 5: Solve for x
    x = 460,514,246,544/443,539.50
  6. Step 6: Final answer
    x = 1,038,271.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.