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Finding the Third Proportional to 420,441 and 652,804.50

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Solution

The third proportional to 420,441 and 652,804.50 is: 1,013,587.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,441 : 652,804.50 = 652,804.50 : x
  2. Step 2: Convert to fraction form
    420,441/652,804.50 = 652,804.50/x
  3. Step 3: Cross multiply
    420,441x = 652,804.50 × 652,804.50
  4. Step 4: Simplify right side
    420,441x = 426,153,715,220.25
  5. Step 5: Solve for x
    x = 426,153,715,220.25/420,441
  6. Step 6: Final answer
    x = 1,013,587.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.