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Finding the Third Proportional to 409,808 and 632,888

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Solution

The third proportional to 409,808 and 632,888 is: 977,402.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,808 : 632,888 = 632,888 : x
  2. Step 2: Convert to fraction form
    409,808/632,888 = 632,888/x
  3. Step 3: Cross multiply
    409,808x = 632,888 × 632,888
  4. Step 4: Simplify right side
    409,808x = 400,547,220,544
  5. Step 5: Solve for x
    x = 400,547,220,544/409,808
  6. Step 6: Final answer
    x = 977,402.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.