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Finding the Third Proportional to 430,295 and 936,588

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Solution

The third proportional to 430,295 and 936,588 is: 2,038,594.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,295 : 936,588 = 936,588 : x
  2. Step 2: Convert to fraction form
    430,295/936,588 = 936,588/x
  3. Step 3: Cross multiply
    430,295x = 936,588 × 936,588
  4. Step 4: Simplify right side
    430,295x = 877,197,081,744
  5. Step 5: Solve for x
    x = 877,197,081,744/430,295
  6. Step 6: Final answer
    x = 2,038,594.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.