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Finding the Third Proportional to 294,386 and 466,912

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Solution

The third proportional to 294,386 and 466,912 is: 740,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,386 : 466,912 = 466,912 : x
  2. Step 2: Convert to fraction form
    294,386/466,912 = 466,912/x
  3. Step 3: Cross multiply
    294,386x = 466,912 × 466,912
  4. Step 4: Simplify right side
    294,386x = 218,006,815,744
  5. Step 5: Solve for x
    x = 218,006,815,744/294,386
  6. Step 6: Final answer
    x = 740,547.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.