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Finding the Third Proportional to 533,294 and 750,043

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Solution

The third proportional to 533,294 and 750,043 is: 1,054,886.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,294 : 750,043 = 750,043 : x
  2. Step 2: Convert to fraction form
    533,294/750,043 = 750,043/x
  3. Step 3: Cross multiply
    533,294x = 750,043 × 750,043
  4. Step 4: Simplify right side
    533,294x = 562,564,501,849
  5. Step 5: Solve for x
    x = 562,564,501,849/533,294
  6. Step 6: Final answer
    x = 1,054,886.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.