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Finding the Third Proportional to 572,811.75 and 877,533.75

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Solution

The third proportional to 572,811.75 and 877,533.75 is: 1,344,360.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,811.75 : 877,533.75 = 877,533.75 : x
  2. Step 2: Convert to fraction form
    572,811.75/877,533.75 = 877,533.75/x
  3. Step 3: Cross multiply
    572,811.75x = 877,533.75 × 877,533.75
  4. Step 4: Simplify right side
    572,811.75x = 770,065,482,389.06
  5. Step 5: Solve for x
    x = 770,065,482,389.06/572,811.75
  6. Step 6: Final answer
    x = 1,344,360.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.