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Finding the Third Proportional to 294,428.25 and 466,985.25

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Solution

The third proportional to 294,428.25 and 466,985.25 is: 740,673.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,428.25 : 466,985.25 = 466,985.25 : x
  2. Step 2: Convert to fraction form
    294,428.25/466,985.25 = 466,985.25/x
  3. Step 3: Cross multiply
    294,428.25x = 466,985.25 × 466,985.25
  4. Step 4: Simplify right side
    294,428.25x = 218,075,223,717.56
  5. Step 5: Solve for x
    x = 218,075,223,717.56/294,428.25
  6. Step 6: Final answer
    x = 740,673.57

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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.