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Finding the Third Proportional to 465,465 and 711,735

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Solution

The third proportional to 465,465 and 711,735 is: 1,088,302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,465 : 711,735 = 711,735 : x
  2. Step 2: Convert to fraction form
    465,465/711,735 = 711,735/x
  3. Step 3: Cross multiply
    465,465x = 711,735 × 711,735
  4. Step 4: Simplify right side
    465,465x = 506,566,710,225
  5. Step 5: Solve for x
    x = 506,566,710,225/465,465
  6. Step 6: Final answer
    x = 1,088,302.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.