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Finding the Third Proportional to 592,148 and 899,300

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Solution

The third proportional to 592,148 and 899,300 is: 1,365,774.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,148 : 899,300 = 899,300 : x
  2. Step 2: Convert to fraction form
    592,148/899,300 = 899,300/x
  3. Step 3: Cross multiply
    592,148x = 899,300 × 899,300
  4. Step 4: Simplify right side
    592,148x = 808,740,490,000
  5. Step 5: Solve for x
    x = 808,740,490,000/592,148
  6. Step 6: Final answer
    x = 1,365,774.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.