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Finding the Third Proportional to 294,529.50 and 610,915.50

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Solution

The third proportional to 294,529.50 and 610,915.50 is: 1,267,165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,529.50 : 610,915.50 = 610,915.50 : x
  2. Step 2: Convert to fraction form
    294,529.50/610,915.50 = 610,915.50/x
  3. Step 3: Cross multiply
    294,529.50x = 610,915.50 × 610,915.50
  4. Step 4: Simplify right side
    294,529.50x = 373,217,748,140.25
  5. Step 5: Solve for x
    x = 373,217,748,140.25/294,529.50
  6. Step 6: Final answer
    x = 1,267,165.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.