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Finding the Third Proportional to 527,312 and 1,129,352

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Solution

The third proportional to 527,312 and 1,129,352 is: 2,418,750.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,312 : 1,129,352 = 1,129,352 : x
  2. Step 2: Convert to fraction form
    527,312/1,129,352 = 1,129,352/x
  3. Step 3: Cross multiply
    527,312x = 1,129,352 × 1,129,352
  4. Step 4: Simplify right side
    527,312x = 1,275,435,939,904
  5. Step 5: Solve for x
    x = 1,275,435,939,904/527,312
  6. Step 6: Final answer
    x = 2,418,750.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.