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Finding the Third Proportional to 334,912 and 468,461

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Solution

The third proportional to 334,912 and 468,461 is: 655,263.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,912 : 468,461 = 468,461 : x
  2. Step 2: Convert to fraction form
    334,912/468,461 = 468,461/x
  3. Step 3: Cross multiply
    334,912x = 468,461 × 468,461
  4. Step 4: Simplify right side
    334,912x = 219,455,708,521
  5. Step 5: Solve for x
    x = 219,455,708,521/334,912
  6. Step 6: Final answer
    x = 655,263.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.