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Finding the Third Proportional to 390,468 and 589,862

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Solution

The third proportional to 390,468 and 589,862 is: 891,077.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,468 : 589,862 = 589,862 : x
  2. Step 2: Convert to fraction form
    390,468/589,862 = 589,862/x
  3. Step 3: Cross multiply
    390,468x = 589,862 × 589,862
  4. Step 4: Simplify right side
    390,468x = 347,937,179,044
  5. Step 5: Solve for x
    x = 347,937,179,044/390,468
  6. Step 6: Final answer
    x = 891,077.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.