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Finding the Third Proportional to 769,702.50 and 1,207,413

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Solution

The third proportional to 769,702.50 and 1,207,413 is: 1,894,038.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,702.50 : 1,207,413 = 1,207,413 : x
  2. Step 2: Convert to fraction form
    769,702.50/1,207,413 = 1,207,413/x
  3. Step 3: Cross multiply
    769,702.50x = 1,207,413 × 1,207,413
  4. Step 4: Simplify right side
    769,702.50x = 1,457,846,152,569
  5. Step 5: Solve for x
    x = 1,457,846,152,569/769,702.50
  6. Step 6: Final answer
    x = 1,894,038.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.