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Finding the Third Proportional to 566,826.19 and 877,619.81

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Solution

The third proportional to 566,826.19 and 877,619.81 is: 1,358,823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,826.19 : 877,619.81 = 877,619.81 : x
  2. Step 2: Convert to fraction form
    566,826.19/877,619.81 = 877,619.81/x
  3. Step 3: Cross multiply
    566,826.19x = 877,619.81 × 877,619.81
  4. Step 4: Simplify right side
    566,826.19x = 770,216,535,292.54
  5. Step 5: Solve for x
    x = 770,216,535,292.54/566,826.19
  6. Step 6: Final answer
    x = 1,358,823.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.