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Finding the Third Proportional to 524,950 and 776,354

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Solution

The third proportional to 524,950 and 776,354 is: 1,148,157.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,950 : 776,354 = 776,354 : x
  2. Step 2: Convert to fraction form
    524,950/776,354 = 776,354/x
  3. Step 3: Cross multiply
    524,950x = 776,354 × 776,354
  4. Step 4: Simplify right side
    524,950x = 602,725,533,316
  5. Step 5: Solve for x
    x = 602,725,533,316/524,950
  6. Step 6: Final answer
    x = 1,148,157.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.