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Finding the Third Proportional to 688,300.50 and 967,557

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Solution

The third proportional to 688,300.50 and 967,557 is: 1,360,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,300.50 : 967,557 = 967,557 : x
  2. Step 2: Convert to fraction form
    688,300.50/967,557 = 967,557/x
  3. Step 3: Cross multiply
    688,300.50x = 967,557 × 967,557
  4. Step 4: Simplify right side
    688,300.50x = 936,166,548,249
  5. Step 5: Solve for x
    x = 936,166,548,249/688,300.50
  6. Step 6: Final answer
    x = 1,360,113.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.