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Finding the Third Proportional to 527,352 and 1,092,088.50

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Solution

The third proportional to 527,352 and 1,092,088.50 is: 2,261,596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,352 : 1,092,088.50 = 1,092,088.50 : x
  2. Step 2: Convert to fraction form
    527,352/1,092,088.50 = 1,092,088.50/x
  3. Step 3: Cross multiply
    527,352x = 1,092,088.50 × 1,092,088.50
  4. Step 4: Simplify right side
    527,352x = 1,192,657,291,832.25
  5. Step 5: Solve for x
    x = 1,192,657,291,832.25/527,352
  6. Step 6: Final answer
    x = 2,261,596.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.