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Finding the Third Proportional to 564,724 and 828,248

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Solution

The third proportional to 564,724 and 828,248 is: 1,214,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,724 : 828,248 = 828,248 : x
  2. Step 2: Convert to fraction form
    564,724/828,248 = 828,248/x
  3. Step 3: Cross multiply
    564,724x = 828,248 × 828,248
  4. Step 4: Simplify right side
    564,724x = 685,994,749,504
  5. Step 5: Solve for x
    x = 685,994,749,504/564,724
  6. Step 6: Final answer
    x = 1,214,743.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.