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Finding the Third Proportional to 362,457 and 787,203

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Solution

The third proportional to 362,457 and 787,203 is: 1,709,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,457 : 787,203 = 787,203 : x
  2. Step 2: Convert to fraction form
    362,457/787,203 = 787,203/x
  3. Step 3: Cross multiply
    362,457x = 787,203 × 787,203
  4. Step 4: Simplify right side
    362,457x = 619,688,563,209
  5. Step 5: Solve for x
    x = 619,688,563,209/362,457
  6. Step 6: Final answer
    x = 1,709,688.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.