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Finding the Third Proportional to 432,430 and 946,309

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Solution

The third proportional to 432,430 and 946,309 is: 2,070,857.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,430 : 946,309 = 946,309 : x
  2. Step 2: Convert to fraction form
    432,430/946,309 = 946,309/x
  3. Step 3: Cross multiply
    432,430x = 946,309 × 946,309
  4. Step 4: Simplify right side
    432,430x = 895,500,723,481
  5. Step 5: Solve for x
    x = 895,500,723,481/432,430
  6. Step 6: Final answer
    x = 2,070,857.07

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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.