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Finding the Third Proportional to 237,410 and 560,429

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Solution

The third proportional to 237,410 and 560,429 is: 1,322,946.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,410 : 560,429 = 560,429 : x
  2. Step 2: Convert to fraction form
    237,410/560,429 = 560,429/x
  3. Step 3: Cross multiply
    237,410x = 560,429 × 560,429
  4. Step 4: Simplify right side
    237,410x = 314,080,664,041
  5. Step 5: Solve for x
    x = 314,080,664,041/237,410
  6. Step 6: Final answer
    x = 1,322,946.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.