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Finding the Third Proportional to 296,702,316 and 601,789,560

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Solution

The third proportional to 296,702,316 and 601,789,560 is: 1,220,585,937.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,702,316 : 601,789,560 = 601,789,560 : x
  2. Step 2: Convert to fraction form
    296,702,316/601,789,560 = 601,789,560/x
  3. Step 3: Cross multiply
    296,702,316x = 601,789,560 × 601,789,560
  4. Step 4: Simplify right side
    296,702,316x = 362,150,674,524,993,600
  5. Step 5: Solve for x
    x = 362,150,674,524,993,600/296,702,316
  6. Step 6: Final answer
    x = 1,220,585,937.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.