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Finding the Third Proportional to 849,649.50 and 907,878.38

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Solution

The third proportional to 849,649.50 and 907,878.38 is: 970,097.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,649.50 : 907,878.38 = 907,878.38 : x
  2. Step 2: Convert to fraction form
    849,649.50/907,878.38 = 907,878.38/x
  3. Step 3: Cross multiply
    849,649.50x = 907,878.38 × 907,878.38
  4. Step 4: Simplify right side
    849,649.50x = 824,243,143,792.64
  5. Step 5: Solve for x
    x = 824,243,143,792.64/849,649.50
  6. Step 6: Final answer
    x = 970,097.84

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.