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Finding the Third Proportional to 359,164 and 785,639

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Solution

The third proportional to 359,164 and 785,639 is: 1,718,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,164 : 785,639 = 785,639 : x
  2. Step 2: Convert to fraction form
    359,164/785,639 = 785,639/x
  3. Step 3: Cross multiply
    359,164x = 785,639 × 785,639
  4. Step 4: Simplify right side
    359,164x = 617,228,638,321
  5. Step 5: Solve for x
    x = 617,228,638,321/359,164
  6. Step 6: Final answer
    x = 1,718,514.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.