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Finding the Third Proportional to 430,560 and 943,200

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Solution

The third proportional to 430,560 and 943,200 is: 2,066,207.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,560 : 943,200 = 943,200 : x
  2. Step 2: Convert to fraction form
    430,560/943,200 = 943,200/x
  3. Step 3: Cross multiply
    430,560x = 943,200 × 943,200
  4. Step 4: Simplify right side
    430,560x = 889,626,240,000
  5. Step 5: Solve for x
    x = 889,626,240,000/430,560
  6. Step 6: Final answer
    x = 2,066,207.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.