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Finding the Third Proportional to 535,770 and 786,159

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Solution

The third proportional to 535,770 and 786,159 is: 1,153,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,770 : 786,159 = 786,159 : x
  2. Step 2: Convert to fraction form
    535,770/786,159 = 786,159/x
  3. Step 3: Cross multiply
    535,770x = 786,159 × 786,159
  4. Step 4: Simplify right side
    535,770x = 618,045,973,281
  5. Step 5: Solve for x
    x = 618,045,973,281/535,770
  6. Step 6: Final answer
    x = 1,153,565.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.