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Finding the Third Proportional to 509,935.50 and 750,060

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Solution

The third proportional to 509,935.50 and 750,060 is: 1,103,257.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,935.50 : 750,060 = 750,060 : x
  2. Step 2: Convert to fraction form
    509,935.50/750,060 = 750,060/x
  3. Step 3: Cross multiply
    509,935.50x = 750,060 × 750,060
  4. Step 4: Simplify right side
    509,935.50x = 562,590,003,600
  5. Step 5: Solve for x
    x = 562,590,003,600/509,935.50
  6. Step 6: Final answer
    x = 1,103,257.18

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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.