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Finding the Third Proportional to 445,510.50 and 590,752.50

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Solution

The third proportional to 445,510.50 and 590,752.50 is: 783,345.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,510.50 : 590,752.50 = 590,752.50 : x
  2. Step 2: Convert to fraction form
    445,510.50/590,752.50 = 590,752.50/x
  3. Step 3: Cross multiply
    445,510.50x = 590,752.50 × 590,752.50
  4. Step 4: Simplify right side
    445,510.50x = 348,988,516,256.25
  5. Step 5: Solve for x
    x = 348,988,516,256.25/445,510.50
  6. Step 6: Final answer
    x = 783,345.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.