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Finding the Third Proportional to 469,271,758.50 and 709,946,309.25

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Solution

The third proportional to 469,271,758.50 and 709,946,309.25 is: 1,074,055,177.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,271,758.50 : 709,946,309.25 = 709,946,309.25 : x
  2. Step 2: Convert to fraction form
    469,271,758.50/709,946,309.25 = 709,946,309.25/x
  3. Step 3: Cross multiply
    469,271,758.50x = 709,946,309.25 × 709,946,309.25
  4. Step 4: Simplify right side
    469,271,758.50x = 504,023,762,017,696,640
  5. Step 5: Solve for x
    x = 504,023,762,017,696,640/469,271,758.50
  6. Step 6: Final answer
    x = 1,074,055,177.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.