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Finding the Third Proportional to 295,402 and 632,804

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Solution

The third proportional to 295,402 and 632,804 is: 1,355,579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,402 : 632,804 = 632,804 : x
  2. Step 2: Convert to fraction form
    295,402/632,804 = 632,804/x
  3. Step 3: Cross multiply
    295,402x = 632,804 × 632,804
  4. Step 4: Simplify right side
    295,402x = 400,440,902,416
  5. Step 5: Solve for x
    x = 400,440,902,416/295,402
  6. Step 6: Final answer
    x = 1,355,579.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.