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Finding the Third Proportional to 287,068.50 and 670,506

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Solution

The third proportional to 287,068.50 and 670,506 is: 1,566,101.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,068.50 : 670,506 = 670,506 : x
  2. Step 2: Convert to fraction form
    287,068.50/670,506 = 670,506/x
  3. Step 3: Cross multiply
    287,068.50x = 670,506 × 670,506
  4. Step 4: Simplify right side
    287,068.50x = 449,578,296,036
  5. Step 5: Solve for x
    x = 449,578,296,036/287,068.50
  6. Step 6: Final answer
    x = 1,566,101.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.