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Finding the Third Proportional to 245,564 and 528,913

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Solution

The third proportional to 245,564 and 528,913 is: 1,139,209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,564 : 528,913 = 528,913 : x
  2. Step 2: Convert to fraction form
    245,564/528,913 = 528,913/x
  3. Step 3: Cross multiply
    245,564x = 528,913 × 528,913
  4. Step 4: Simplify right side
    245,564x = 279,748,961,569
  5. Step 5: Solve for x
    x = 279,748,961,569/245,564
  6. Step 6: Final answer
    x = 1,139,209.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.