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Finding the Third Proportional to 305,280 and 466,986

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Solution

The third proportional to 305,280 and 466,986 is: 714,347.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,280 : 466,986 = 466,986 : x
  2. Step 2: Convert to fraction form
    305,280/466,986 = 466,986/x
  3. Step 3: Cross multiply
    305,280x = 466,986 × 466,986
  4. Step 4: Simplify right side
    305,280x = 218,075,924,196
  5. Step 5: Solve for x
    x = 218,075,924,196/305,280
  6. Step 6: Final answer
    x = 714,347.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.