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Finding the Third Proportional to 553,428 and 846,202.50

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Solution

The third proportional to 553,428 and 846,202.50 is: 1,293,860.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,428 : 846,202.50 = 846,202.50 : x
  2. Step 2: Convert to fraction form
    553,428/846,202.50 = 846,202.50/x
  3. Step 3: Cross multiply
    553,428x = 846,202.50 × 846,202.50
  4. Step 4: Simplify right side
    553,428x = 716,058,671,006.25
  5. Step 5: Solve for x
    x = 716,058,671,006.25/553,428
  6. Step 6: Final answer
    x = 1,293,860.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.