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Finding the Third Proportional to 346,044 and 750,840

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Solution

The third proportional to 346,044 and 750,840 is: 1,629,159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,044 : 750,840 = 750,840 : x
  2. Step 2: Convert to fraction form
    346,044/750,840 = 750,840/x
  3. Step 3: Cross multiply
    346,044x = 750,840 × 750,840
  4. Step 4: Simplify right side
    346,044x = 563,760,705,600
  5. Step 5: Solve for x
    x = 563,760,705,600/346,044
  6. Step 6: Final answer
    x = 1,629,159.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.