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Finding the Third Proportional to 575,730 and 805,092

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Solution

The third proportional to 575,730 and 805,092 is: 1,125,828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,730 : 805,092 = 805,092 : x
  2. Step 2: Convert to fraction form
    575,730/805,092 = 805,092/x
  3. Step 3: Cross multiply
    575,730x = 805,092 × 805,092
  4. Step 4: Simplify right side
    575,730x = 648,173,128,464
  5. Step 5: Solve for x
    x = 648,173,128,464/575,730
  6. Step 6: Final answer
    x = 1,125,828.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.