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Finding the Third Proportional to 571,306,288 and 804,525,145

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Solution

The third proportional to 571,306,288 and 804,525,145 is: 1,132,948,687.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,306,288 : 804,525,145 = 804,525,145 : x
  2. Step 2: Convert to fraction form
    571,306,288/804,525,145 = 804,525,145/x
  3. Step 3: Cross multiply
    571,306,288x = 804,525,145 × 804,525,145
  4. Step 4: Simplify right side
    571,306,288x = 647,260,708,937,271,040
  5. Step 5: Solve for x
    x = 647,260,708,937,271,040/571,306,288
  6. Step 6: Final answer
    x = 1,132,948,687.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.