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Finding the Third Proportional to 245,505 and 529,746

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Solution

The third proportional to 245,505 and 529,746 is: 1,143,075.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,505 : 529,746 = 529,746 : x
  2. Step 2: Convert to fraction form
    245,505/529,746 = 529,746/x
  3. Step 3: Cross multiply
    245,505x = 529,746 × 529,746
  4. Step 4: Simplify right side
    245,505x = 280,630,824,516
  5. Step 5: Solve for x
    x = 280,630,824,516/245,505
  6. Step 6: Final answer
    x = 1,143,075.80

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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.