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Finding the Third Proportional to 575,292 and 900,498

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Solution

The third proportional to 575,292 and 900,498 is: 1,409,539.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,292 : 900,498 = 900,498 : x
  2. Step 2: Convert to fraction form
    575,292/900,498 = 900,498/x
  3. Step 3: Cross multiply
    575,292x = 900,498 × 900,498
  4. Step 4: Simplify right side
    575,292x = 810,896,648,004
  5. Step 5: Solve for x
    x = 810,896,648,004/575,292
  6. Step 6: Final answer
    x = 1,409,539.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.