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Finding the Third Proportional to 245,570 and 537,985

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Solution

The third proportional to 245,570 and 537,985 is: 1,178,596.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,570 : 537,985 = 537,985 : x
  2. Step 2: Convert to fraction form
    245,570/537,985 = 537,985/x
  3. Step 3: Cross multiply
    245,570x = 537,985 × 537,985
  4. Step 4: Simplify right side
    245,570x = 289,427,860,225
  5. Step 5: Solve for x
    x = 289,427,860,225/245,570
  6. Step 6: Final answer
    x = 1,178,596.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.