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Finding the Third Proportional to 456,004 and 701,862

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Solution

The third proportional to 456,004 and 701,862 is: 1,080,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,004 : 701,862 = 701,862 : x
  2. Step 2: Convert to fraction form
    456,004/701,862 = 701,862/x
  3. Step 3: Cross multiply
    456,004x = 701,862 × 701,862
  4. Step 4: Simplify right side
    456,004x = 492,610,267,044
  5. Step 5: Solve for x
    x = 492,610,267,044/456,004
  6. Step 6: Final answer
    x = 1,080,276.20

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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.