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Finding the Third Proportional to 294,430 and 466,988

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Solution

The third proportional to 294,430 and 466,988 is: 740,677.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,430 : 466,988 = 466,988 : x
  2. Step 2: Convert to fraction form
    294,430/466,988 = 466,988/x
  3. Step 3: Cross multiply
    294,430x = 466,988 × 466,988
  4. Step 4: Simplify right side
    294,430x = 218,077,792,144
  5. Step 5: Solve for x
    x = 218,077,792,144/294,430
  6. Step 6: Final answer
    x = 740,677.89

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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.