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Finding the Third Proportional to 583,216 and 900,666

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Solution

The third proportional to 583,216 and 900,666 is: 1,390,907.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,216 : 900,666 = 900,666 : x
  2. Step 2: Convert to fraction form
    583,216/900,666 = 900,666/x
  3. Step 3: Cross multiply
    583,216x = 900,666 × 900,666
  4. Step 4: Simplify right side
    583,216x = 811,199,243,556
  5. Step 5: Solve for x
    x = 811,199,243,556/583,216
  6. Step 6: Final answer
    x = 1,390,907.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.