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Finding the Third Proportional to 245,715 and 525,585

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Solution

The third proportional to 245,715 and 525,585 is: 1,124,227.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,715 : 525,585 = 525,585 : x
  2. Step 2: Convert to fraction form
    245,715/525,585 = 525,585/x
  3. Step 3: Cross multiply
    245,715x = 525,585 × 525,585
  4. Step 4: Simplify right side
    245,715x = 276,239,592,225
  5. Step 5: Solve for x
    x = 276,239,592,225/245,715
  6. Step 6: Final answer
    x = 1,124,227.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.