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Finding the Third Proportional to 369,140 and 789,465

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Solution

The third proportional to 369,140 and 789,465 is: 1,688,397.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,140 : 789,465 = 789,465 : x
  2. Step 2: Convert to fraction form
    369,140/789,465 = 789,465/x
  3. Step 3: Cross multiply
    369,140x = 789,465 × 789,465
  4. Step 4: Simplify right side
    369,140x = 623,254,986,225
  5. Step 5: Solve for x
    x = 623,254,986,225/369,140
  6. Step 6: Final answer
    x = 1,688,397.32

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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.