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Finding the Third Proportional to 460,080 and 710,640

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Solution

The third proportional to 460,080 and 710,640 is: 1,097,655.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,080 : 710,640 = 710,640 : x
  2. Step 2: Convert to fraction form
    460,080/710,640 = 710,640/x
  3. Step 3: Cross multiply
    460,080x = 710,640 × 710,640
  4. Step 4: Simplify right side
    460,080x = 505,009,209,600
  5. Step 5: Solve for x
    x = 505,009,209,600/460,080
  6. Step 6: Final answer
    x = 1,097,655.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.