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Finding the Third Proportional to 294,594 and 646,536

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Solution

The third proportional to 294,594 and 646,536 is: 1,418,931.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,594 : 646,536 = 646,536 : x
  2. Step 2: Convert to fraction form
    294,594/646,536 = 646,536/x
  3. Step 3: Cross multiply
    294,594x = 646,536 × 646,536
  4. Step 4: Simplify right side
    294,594x = 418,008,799,296
  5. Step 5: Solve for x
    x = 418,008,799,296/294,594
  6. Step 6: Final answer
    x = 1,418,931.82

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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.