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Finding the Third Proportional to 696,294 and 939,465

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Solution

The third proportional to 696,294 and 939,465 is: 1,267,560.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,294 : 939,465 = 939,465 : x
  2. Step 2: Convert to fraction form
    696,294/939,465 = 939,465/x
  3. Step 3: Cross multiply
    696,294x = 939,465 × 939,465
  4. Step 4: Simplify right side
    696,294x = 882,594,486,225
  5. Step 5: Solve for x
    x = 882,594,486,225/696,294
  6. Step 6: Final answer
    x = 1,267,560.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.