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Finding the Third Proportional to 465,924 and 736,430

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Solution

The third proportional to 465,924 and 736,430 is: 1,163,986.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,924 : 736,430 = 736,430 : x
  2. Step 2: Convert to fraction form
    465,924/736,430 = 736,430/x
  3. Step 3: Cross multiply
    465,924x = 736,430 × 736,430
  4. Step 4: Simplify right side
    465,924x = 542,329,144,900
  5. Step 5: Solve for x
    x = 542,329,144,900/465,924
  6. Step 6: Final answer
    x = 1,163,986.28

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.