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Finding the Third Proportional to 295,465 and 712,351

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Solution

The third proportional to 295,465 and 712,351 is: 1,717,441.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,465 : 712,351 = 712,351 : x
  2. Step 2: Convert to fraction form
    295,465/712,351 = 712,351/x
  3. Step 3: Cross multiply
    295,465x = 712,351 × 712,351
  4. Step 4: Simplify right side
    295,465x = 507,443,947,201
  5. Step 5: Solve for x
    x = 507,443,947,201/295,465
  6. Step 6: Final answer
    x = 1,717,441.82

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.