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Finding the Third Proportional to 294,490 and 459,231

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Solution

The third proportional to 294,490 and 459,231 is: 716,129.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,490 : 459,231 = 459,231 : x
  2. Step 2: Convert to fraction form
    294,490/459,231 = 459,231/x
  3. Step 3: Cross multiply
    294,490x = 459,231 × 459,231
  4. Step 4: Simplify right side
    294,490x = 210,893,111,361
  5. Step 5: Solve for x
    x = 210,893,111,361/294,490
  6. Step 6: Final answer
    x = 716,129.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.