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Finding the Third Proportional to 563,068 and 849,460

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Solution

The third proportional to 563,068 and 849,460 is: 1,281,518.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,068 : 849,460 = 849,460 : x
  2. Step 2: Convert to fraction form
    563,068/849,460 = 849,460/x
  3. Step 3: Cross multiply
    563,068x = 849,460 × 849,460
  4. Step 4: Simplify right side
    563,068x = 721,582,291,600
  5. Step 5: Solve for x
    x = 721,582,291,600/563,068
  6. Step 6: Final answer
    x = 1,281,518.91

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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.