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Finding the Third Proportional to 368,526 and 540,702

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Solution

The third proportional to 368,526 and 540,702 is: 793,318.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,526 : 540,702 = 540,702 : x
  2. Step 2: Convert to fraction form
    368,526/540,702 = 540,702/x
  3. Step 3: Cross multiply
    368,526x = 540,702 × 540,702
  4. Step 4: Simplify right side
    368,526x = 292,358,652,804
  5. Step 5: Solve for x
    x = 292,358,652,804/368,526
  6. Step 6: Final answer
    x = 793,318.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.