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Finding the Third Proportional to 242,037 and 525,465

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Solution

The third proportional to 242,037 and 525,465 is: 1,140,790.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,037 : 525,465 = 525,465 : x
  2. Step 2: Convert to fraction form
    242,037/525,465 = 525,465/x
  3. Step 3: Cross multiply
    242,037x = 525,465 × 525,465
  4. Step 4: Simplify right side
    242,037x = 276,113,466,225
  5. Step 5: Solve for x
    x = 276,113,466,225/242,037
  6. Step 6: Final answer
    x = 1,140,790.32

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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.