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Finding the Third Proportional to 465,248 and 697,852

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Solution

The third proportional to 465,248 and 697,852 is: 1,046,748.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,248 : 697,852 = 697,852 : x
  2. Step 2: Convert to fraction form
    465,248/697,852 = 697,852/x
  3. Step 3: Cross multiply
    465,248x = 697,852 × 697,852
  4. Step 4: Simplify right side
    465,248x = 486,997,413,904
  5. Step 5: Solve for x
    x = 486,997,413,904/465,248
  6. Step 6: Final answer
    x = 1,046,748.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.