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Finding the Third Proportional to 575,276 and 900,472

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Solution

The third proportional to 575,276 and 900,472 is: 1,409,497.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,276 : 900,472 = 900,472 : x
  2. Step 2: Convert to fraction form
    575,276/900,472 = 900,472/x
  3. Step 3: Cross multiply
    575,276x = 900,472 × 900,472
  4. Step 4: Simplify right side
    575,276x = 810,849,822,784
  5. Step 5: Solve for x
    x = 810,849,822,784/575,276
  6. Step 6: Final answer
    x = 1,409,497.05

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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.