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Finding the Third Proportional to 537,495 and 776,973

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Solution

The third proportional to 537,495 and 776,973 is: 1,123,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,495 : 776,973 = 776,973 : x
  2. Step 2: Convert to fraction form
    537,495/776,973 = 776,973/x
  3. Step 3: Cross multiply
    537,495x = 776,973 × 776,973
  4. Step 4: Simplify right side
    537,495x = 603,687,042,729
  5. Step 5: Solve for x
    x = 603,687,042,729/537,495
  6. Step 6: Final answer
    x = 1,123,149.13

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.