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Finding the Third Proportional to 346,752 and 652,032

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Solution

The third proportional to 346,752 and 652,032 is: 1,226,080.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,752 : 652,032 = 652,032 : x
  2. Step 2: Convert to fraction form
    346,752/652,032 = 652,032/x
  3. Step 3: Cross multiply
    346,752x = 652,032 × 652,032
  4. Step 4: Simplify right side
    346,752x = 425,145,729,024
  5. Step 5: Solve for x
    x = 425,145,729,024/346,752
  6. Step 6: Final answer
    x = 1,226,080.11

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.