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Finding the Third Proportional to 294,210 and 456,381

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Solution

The third proportional to 294,210 and 456,381 is: 707,942.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,210 : 456,381 = 456,381 : x
  2. Step 2: Convert to fraction form
    294,210/456,381 = 456,381/x
  3. Step 3: Cross multiply
    294,210x = 456,381 × 456,381
  4. Step 4: Simplify right side
    294,210x = 208,283,617,161
  5. Step 5: Solve for x
    x = 208,283,617,161/294,210
  6. Step 6: Final answer
    x = 707,942.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.