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Finding the Third Proportional to 509,959.50 and 750,055.50

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Solution

The third proportional to 509,959.50 and 750,055.50 is: 1,103,192.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,959.50 : 750,055.50 = 750,055.50 : x
  2. Step 2: Convert to fraction form
    509,959.50/750,055.50 = 750,055.50/x
  3. Step 3: Cross multiply
    509,959.50x = 750,055.50 × 750,055.50
  4. Step 4: Simplify right side
    509,959.50x = 562,583,253,080.25
  5. Step 5: Solve for x
    x = 562,583,253,080.25/509,959.50
  6. Step 6: Final answer
    x = 1,103,192.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.