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Finding the Third Proportional to 294,564 and 424,691

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Solution

The third proportional to 294,564 and 424,691 is: 612,303.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,564 : 424,691 = 424,691 : x
  2. Step 2: Convert to fraction form
    294,564/424,691 = 424,691/x
  3. Step 3: Cross multiply
    294,564x = 424,691 × 424,691
  4. Step 4: Simplify right side
    294,564x = 180,362,445,481
  5. Step 5: Solve for x
    x = 180,362,445,481/294,564
  6. Step 6: Final answer
    x = 612,303.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.