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Finding the Third Proportional to 294,316 and 466,350

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Solution

The third proportional to 294,316 and 466,350 is: 738,941.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,316 : 466,350 = 466,350 : x
  2. Step 2: Convert to fraction form
    294,316/466,350 = 466,350/x
  3. Step 3: Cross multiply
    294,316x = 466,350 × 466,350
  4. Step 4: Simplify right side
    294,316x = 217,482,322,500
  5. Step 5: Solve for x
    x = 217,482,322,500/294,316
  6. Step 6: Final answer
    x = 738,941.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.