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Finding the Third Proportional to 487,726.50 and 750,247.50

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Solution

The third proportional to 487,726.50 and 750,247.50 is: 1,154,071.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,726.50 : 750,247.50 = 750,247.50 : x
  2. Step 2: Convert to fraction form
    487,726.50/750,247.50 = 750,247.50/x
  3. Step 3: Cross multiply
    487,726.50x = 750,247.50 × 750,247.50
  4. Step 4: Simplify right side
    487,726.50x = 562,871,311,256.25
  5. Step 5: Solve for x
    x = 562,871,311,256.25/487,726.50
  6. Step 6: Final answer
    x = 1,154,071.62

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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.