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Finding the Third Proportional to 410,409 and 877,587.75

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Solution

The third proportional to 410,409 and 877,587.75 is: 1,876,567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,409 : 877,587.75 = 877,587.75 : x
  2. Step 2: Convert to fraction form
    410,409/877,587.75 = 877,587.75/x
  3. Step 3: Cross multiply
    410,409x = 877,587.75 × 877,587.75
  4. Step 4: Simplify right side
    410,409x = 770,160,258,950.06
  5. Step 5: Solve for x
    x = 770,160,258,950.06/410,409
  6. Step 6: Final answer
    x = 1,876,567.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.