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Finding the Third Proportional to 616,770 and 705,343.50

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Solution

The third proportional to 616,770 and 705,343.50 is: 806,636.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,770 : 705,343.50 = 705,343.50 : x
  2. Step 2: Convert to fraction form
    616,770/705,343.50 = 705,343.50/x
  3. Step 3: Cross multiply
    616,770x = 705,343.50 × 705,343.50
  4. Step 4: Simplify right side
    616,770x = 497,509,452,992.25
  5. Step 5: Solve for x
    x = 497,509,452,992.25/616,770
  6. Step 6: Final answer
    x = 806,636.92

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.