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Finding the Third Proportional to 492,106.50 and 759,964

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Solution

The third proportional to 492,106.50 and 759,964 is: 1,173,618.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,106.50 : 759,964 = 759,964 : x
  2. Step 2: Convert to fraction form
    492,106.50/759,964 = 759,964/x
  3. Step 3: Cross multiply
    492,106.50x = 759,964 × 759,964
  4. Step 4: Simplify right side
    492,106.50x = 577,545,281,296
  5. Step 5: Solve for x
    x = 577,545,281,296/492,106.50
  6. Step 6: Final answer
    x = 1,173,618.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.