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Finding the Third Proportional to 495,570 and 753,735

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Solution

The third proportional to 495,570 and 753,735 is: 1,146,389.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,570 : 753,735 = 753,735 : x
  2. Step 2: Convert to fraction form
    495,570/753,735 = 753,735/x
  3. Step 3: Cross multiply
    495,570x = 753,735 × 753,735
  4. Step 4: Simplify right side
    495,570x = 568,116,450,225
  5. Step 5: Solve for x
    x = 568,116,450,225/495,570
  6. Step 6: Final answer
    x = 1,146,389.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.