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Finding the Third Proportional to 460,509 and 710,445

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Solution

The third proportional to 460,509 and 710,445 is: 1,096,030.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,509 : 710,445 = 710,445 : x
  2. Step 2: Convert to fraction form
    460,509/710,445 = 710,445/x
  3. Step 3: Cross multiply
    460,509x = 710,445 × 710,445
  4. Step 4: Simplify right side
    460,509x = 504,732,098,025
  5. Step 5: Solve for x
    x = 504,732,098,025/460,509
  6. Step 6: Final answer
    x = 1,096,030.91

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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.