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Finding the Third Proportional to 374,984 and 808,900

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Solution

The third proportional to 374,984 and 808,900 is: 1,744,925.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,984 : 808,900 = 808,900 : x
  2. Step 2: Convert to fraction form
    374,984/808,900 = 808,900/x
  3. Step 3: Cross multiply
    374,984x = 808,900 × 808,900
  4. Step 4: Simplify right side
    374,984x = 654,319,210,000
  5. Step 5: Solve for x
    x = 654,319,210,000/374,984
  6. Step 6: Final answer
    x = 1,744,925.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.