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Finding the Third Proportional to 335,962.13 and 725,368.50

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Solution

The third proportional to 335,962.13 and 725,368.50 is: 1,566,127.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,962.13 : 725,368.50 = 725,368.50 : x
  2. Step 2: Convert to fraction form
    335,962.13/725,368.50 = 725,368.50/x
  3. Step 3: Cross multiply
    335,962.13x = 725,368.50 × 725,368.50
  4. Step 4: Simplify right side
    335,962.13x = 526,159,460,792.25
  5. Step 5: Solve for x
    x = 526,159,460,792.25/335,962.13
  6. Step 6: Final answer
    x = 1,566,127.32

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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.