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Finding the Third Proportional to 523,075 and 808,271

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Solution

The third proportional to 523,075 and 808,271 is: 1,248,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,075 : 808,271 = 808,271 : x
  2. Step 2: Convert to fraction form
    523,075/808,271 = 808,271/x
  3. Step 3: Cross multiply
    523,075x = 808,271 × 808,271
  4. Step 4: Simplify right side
    523,075x = 653,302,009,441
  5. Step 5: Solve for x
    x = 653,302,009,441/523,075
  6. Step 6: Final answer
    x = 1,248,964.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.