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Finding the Third Proportional to 453,703.50 and 616,545

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Solution

The third proportional to 453,703.50 and 616,545 is: 837,832.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,703.50 : 616,545 = 616,545 : x
  2. Step 2: Convert to fraction form
    453,703.50/616,545 = 616,545/x
  3. Step 3: Cross multiply
    453,703.50x = 616,545 × 616,545
  4. Step 4: Simplify right side
    453,703.50x = 380,127,737,025
  5. Step 5: Solve for x
    x = 380,127,737,025/453,703.50
  6. Step 6: Final answer
    x = 837,832.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.