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Finding the Third Proportional to 594,442.50 and 920,823

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Solution

The third proportional to 594,442.50 and 920,823 is: 1,426,403.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,442.50 : 920,823 = 920,823 : x
  2. Step 2: Convert to fraction form
    594,442.50/920,823 = 920,823/x
  3. Step 3: Cross multiply
    594,442.50x = 920,823 × 920,823
  4. Step 4: Simplify right side
    594,442.50x = 847,914,997,329
  5. Step 5: Solve for x
    x = 847,914,997,329/594,442.50
  6. Step 6: Final answer
    x = 1,426,403.73

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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.