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Finding the Third Proportional to 510,039 and 750,955.50

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Solution

The third proportional to 510,039 and 750,955.50 is: 1,105,668.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,039 : 750,955.50 = 750,955.50 : x
  2. Step 2: Convert to fraction form
    510,039/750,955.50 = 750,955.50/x
  3. Step 3: Cross multiply
    510,039x = 750,955.50 × 750,955.50
  4. Step 4: Simplify right side
    510,039x = 563,934,162,980.25
  5. Step 5: Solve for x
    x = 563,934,162,980.25/510,039
  6. Step 6: Final answer
    x = 1,105,668.71

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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.