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Finding the Third Proportional to 563,004 and 822,622.50

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Solution

The third proportional to 563,004 and 822,622.50 is: 1,201,959.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,004 : 822,622.50 = 822,622.50 : x
  2. Step 2: Convert to fraction form
    563,004/822,622.50 = 822,622.50/x
  3. Step 3: Cross multiply
    563,004x = 822,622.50 × 822,622.50
  4. Step 4: Simplify right side
    563,004x = 676,707,777,506.25
  5. Step 5: Solve for x
    x = 676,707,777,506.25/563,004
  6. Step 6: Final answer
    x = 1,201,959.09

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.