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Finding the Third Proportional to 652,028 and 997,416

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Solution

The third proportional to 652,028 and 997,416 is: 1,525,760.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,028 : 997,416 = 997,416 : x
  2. Step 2: Convert to fraction form
    652,028/997,416 = 997,416/x
  3. Step 3: Cross multiply
    652,028x = 997,416 × 997,416
  4. Step 4: Simplify right side
    652,028x = 994,838,677,056
  5. Step 5: Solve for x
    x = 994,838,677,056/652,028
  6. Step 6: Final answer
    x = 1,525,760.67

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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.