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Finding the Third Proportional to 615,528 and 920,830.50

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Solution

The third proportional to 615,528 and 920,830.50 is: 1,377,563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,528 : 920,830.50 = 920,830.50 : x
  2. Step 2: Convert to fraction form
    615,528/920,830.50 = 920,830.50/x
  3. Step 3: Cross multiply
    615,528x = 920,830.50 × 920,830.50
  4. Step 4: Simplify right side
    615,528x = 847,928,809,730.25
  5. Step 5: Solve for x
    x = 847,928,809,730.25/615,528
  6. Step 6: Final answer
    x = 1,377,563.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.