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Finding the Third Proportional to 281,943 and 607,897.50

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Solution

The third proportional to 281,943 and 607,897.50 is: 1,310,688.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,943 : 607,897.50 = 607,897.50 : x
  2. Step 2: Convert to fraction form
    281,943/607,897.50 = 607,897.50/x
  3. Step 3: Cross multiply
    281,943x = 607,897.50 × 607,897.50
  4. Step 4: Simplify right side
    281,943x = 369,539,370,506.25
  5. Step 5: Solve for x
    x = 369,539,370,506.25/281,943
  6. Step 6: Final answer
    x = 1,310,688.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.