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Finding the Third Proportional to 245,460 and 529,556

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Solution

The third proportional to 245,460 and 529,556 is: 1,142,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,460 : 529,556 = 529,556 : x
  2. Step 2: Convert to fraction form
    245,460/529,556 = 529,556/x
  3. Step 3: Cross multiply
    245,460x = 529,556 × 529,556
  4. Step 4: Simplify right side
    245,460x = 280,429,557,136
  5. Step 5: Solve for x
    x = 280,429,557,136/245,460
  6. Step 6: Final answer
    x = 1,142,465.40

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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.